tasks/program-execution-tracing/contexts/sample-00030.md

### 001

```python
def f1(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    handled = set()
    listing = []
    groups = []
    while len(handled) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        groups.append(current)
        for node in current:
            handled.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f1(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 002

```python
def f2(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f2([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 003

```python
def f3(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    combined = []
    for key, count in left:
        if key in ratemap and count > 0:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': leftover, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f3([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 004

```python
def f4(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            charge = value * prices[group]
            matches.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            amount += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': buckets, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f4([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 005

```python
def f5(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in complete))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f5(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 006

```python
def f6(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f6(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 007

```python
def f7(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(totals) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(totals))) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f7([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 008

```python
def f8(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' ').upper()
    excluded = {str(value).strip() for value in excluded}
    a = {canon(value) for value in left} - excluded
    b = {canon(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f8([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 009

```python
def f9(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f9(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 010

```python
def f10(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            result[-1][1] = right
    gaps = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        gaps.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': gaps, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f10([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 011

```python
def f11(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f11(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 012

```python
def f12(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap % 5:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    spaces = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        spaces.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': spaces, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f12([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 013

```python
def f13(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * prices[group]
            selected.append((code, score))
            groupmap[group] = groupmap.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': groupmap, 'top': list(dict.fromkeys((code for code, score in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f13([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 014

```python
def f14(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f14(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 015

```python
def f15(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            matches.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': buckets, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f15([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 016

```python
def f16(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        tallies[word] = min(9, tallies.get(word, 0) + 1)
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in tallies.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f16(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 017

```python
def f17(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f17([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 018

```python
def f18(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()
    ignored = {str(value).strip() for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f18([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 019

```python
def f19(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[0])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        pending.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f19(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 020

```python
def f20(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f20(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 021

```python
def f21(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f21([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 022

```python
def f22(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f22([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 023

```python
def f23(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': indexes, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f23([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 024

```python
def f24(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' ').upper()[:12]
    excluded = {str(value).upper() for value in excluded}
    a = {canon(value) for value in left} - excluded
    b = {canon(value) for value in right} - excluded
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f24([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 025

```python
def f25(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()[:12]
    ignored = {normalize(value) for value in ignored}
    a = {normalize(value) for value in left} - ignored
    b = {normalize(value) for value in right if normalize(value) != ''} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f25([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 026

```python
def f26(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    complete = set()
    listing = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f26(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 027

```python
def f27(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows[:64]) if value > limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f27([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 028

```python
def f28(board):
    board = list(board)
    found = set()
    pieces = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            work = [(row, col)]
            found.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        if len(found) >= 100:
                            continue
                        work.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f28(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 029

```python
def f29(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        pending.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f29(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 030

```python
def f30(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \r').upper()
    ignored = {str(value).upper() for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f30([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 031

```python
def f31(board):
    board = list(board)
    known = set()
    components = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f31(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 032

```python
def f32(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f32([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 033

```python
def f33(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    items = []
    for key, count in left[:20]:
        if key in ratemap:
            items.append((key, count * ratemap[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': leftover, 'count': len({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f33([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 034

```python
def f34(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows[:64]) if value >= limit and (limit >= 0 or pos > 0)]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f34([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 035

```python
def f35(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    handled = set()
    result = []
    layers = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            result.append(node)
        for node in current:
            for nxt in routes[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f35(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 036

```python
def f36(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    handled = set()
    sequence = []
    rounds = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        rounds.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f36(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 037

```python
def f37(board):
    board = list(board)
    known = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        if len(known) >= 100:
                            continue
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f37(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 038

```python
def f38(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep} and value >= 0:
            cost = value * abs(prices[group])
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f38([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 039

```python
def f39(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap and rate0 != 0:
            ratemap[name0] = rate0
    items = []
    for key, count in left:
        if key in ratemap and count > 0:
            items.append((key, count * ratemap[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f39([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 040

```python
def f40(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    breaks = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        breaks.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((min(100, right - left) for left, right in combined)), 'holes': breaks, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f40([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 041

```python
def f41(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    terms = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f41(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 042

```python
def f42(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f42([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 043

```python
def f43(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f43(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 044

```python
def f44(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f44([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 045

```python
def f45(left, right, banned):
    left = list(left)

    def tidy(value):
        return ' '.join(str(value).split()).upper()
    banned = {str(value).strip() for value in banned}
    a = {tidy(value) for value in left} - banned
    b = {tidy(value) for value in right} - banned
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f45([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 046

```python
def f46(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f46(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 047

```python
def f47(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f47(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 048

```python
def f48(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f48(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 049

```python
def f49(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()
    ignored = {normalize(value) for value in ignored}
    a = {normalize(value) for value in left} - ignored
    b = {normalize(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f49([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 050

```python
def f50(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f50(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 051

```python
def f51(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors:
            factors[name0] = rate0
    items = []
    for key, count in left[:20]:
        if key in factors:
            items.append((key, count * factors[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': unmatched, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f51([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 052

```python
def f52(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f52([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 053

```python
def f53(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f53(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 054

```python
def f54(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(min(100, left - result[pos - 1][1]))
    returnvalue = {'segments': result, 'cover': sum((min(100, right - left) for left, right in result)), 'holes': spaces, 'longest': min(100, max((right - left for left, right in result)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f54([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 055

```python
def f55(board):
    board = list(board)
    known = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            work = [(row, col)]
            known.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f55(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 056

```python
def f56(rows, keep, ratemap):
    rows = list(rows)
    matches = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * ratemap[group]
            matches.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            grand += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': grand, 'groups': totals, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f56([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 057

```python
def f57(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        pending.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f57(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 058

```python
def f58(rows, keep, factors):
    rows = list(rows)
    kept = []
    buckets = {}
    amount = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep and value >= 0:
            score = value * factors[group]
            kept.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': buckets, 'top': list(dict.fromkeys((code for code, score in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f58([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 059

```python
def f59(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \n').upper()[:12]
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f59([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 060

```python
def f60(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + max(0, gap):
            segments.append([left, right])
        else:
            segments[-1][1] = right
    breaks = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        breaks.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': breaks, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f60([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 061

```python
def f61(board):
    board = list(board)
    found = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            queue = [(row, col)]
            found.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f61(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 062

```python
def f62(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        pending.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f62(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 063

```python
def f63(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not result or left > result[-1][1] + max(0, gap):
            result.append([left, right])
        else:
            result[-1][1] = max(0, result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': spaces, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f63([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 064

```python
def f64(left, right, ignored):
    left = list(left)

    def tidy(value):
        return ' '.join(str(value).split()).upper()
    ignored = {str(value).upper() for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f64([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 065

```python
def f65(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans, key=lambda pair: pair[0]):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(min(100, left - combined[pos - 1][1]))
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f65([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 066

```python
def f66(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices and rate0 != 0:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f66([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 067

```python
def f67(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not result or left > result[-1][1] + max(0, gap):
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': spaces, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f67([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 068

```python
def f68(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            work = [(row, col)]
            visited.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        work.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f68(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 069

```python
def f69(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f69([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 070

```python
def f70(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices and rate0 != 0:
            prices[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in prices and count > 0:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f70([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 071

```python
def f71(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f71(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 072

```python
def f72(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f72([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 073

```python
def f73(board):
    board = list(board)
    known = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(min(len(board[row]), 10)):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            work = [(row, col)]
            known.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f73(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 074

```python
def f74(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop or len(word) > 12:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in frequency.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f74(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 075

```python
def f75(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ranking = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f75(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 076

```python
def f76(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors:
            factors[name0] = rate0
    combined = []
    for key, count in left:
        if key in factors:
            combined.append((key, count * factors[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': leftover, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f76([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 077

```python
def f77(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    gaps = []
    for pos in range(1, min(50, len(combined))):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((min(100, right - left) for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f77([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 078

```python
def f78(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \n').upper()
    banned = {normalize(value) for value in banned}
    a = {normalize(value) for value in left} - banned
    b = {normalize(value) for value in right if normalize(value) != ''} - banned
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f78([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 079

```python
def f79(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f79([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 080

```python
def f80(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f80(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 081

```python
def f81(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted((pair for pair in spans if pair[0] < pair[1] or pair[0] != pair[1])):
        if not combined or left > combined[-1][1] + max(0, gap):
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    spaces = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        spaces.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': spaces, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f81([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 082

```python
def f82(left, right, ignored):
    left = list(left)

    def canon(value):
        return str(value).strip(' ').upper()
    ignored = {canon(value) for value in ignored}
    a = {canon(value) for value in left} - ignored
    b = {canon(value) for value in right} - ignored
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f82([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 083

```python
def f83(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f83([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 084

```python
def f84(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    handled = set()
    sequence = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f84(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 085

```python
def f85(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not combined or left > combined[-1][1] + min(gap, 2):
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f85([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 086

```python
def f86(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f86([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 087

```python
def f87(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f87(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 088

```python
def f88(rows, keep, factors):
    rows = list(rows)
    kept = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * factors[group]
            kept.append((code, score))
            groupmap[group] = groupmap.get(group, 0) + score
            amount += score
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': groupmap, 'top': [code for code, score in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f88([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 089

```python
def f89(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            score = value * prices[group]
            kept.append((code, score))
            totals[group] = totals.get(group, 0) + score
            amount += score
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': totals, 'top': [code for code, score in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f89([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 090

```python
def f90(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f90([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 091

```python
def f91(rows, keep, prices):
    rows = list(rows)
    matches = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f91([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 092

```python
def f92(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in factors and count > 0:
            matched.append((key, count * factors[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f92([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 093

```python
def f93(left, right, banned):
    left = list(left)

    def normalize(value):
        return ' '.join(str(value).split()).upper()[:12]
    banned = {normalize(value) for value in banned}
    a = {normalize(value) for value in left if normalize(value) != normalize(value) or normalize(value) != ''} - banned
    b = {normalize(value) for value in right} - banned
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f93([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 094

```python
def f94(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f94([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 095

```python
def f95(left, right, ignored):
    left = list(left)

    def canon(value):
        return ' '.join(str(value).split()).upper()
    ignored = {str(value).strip() for value in ignored}
    a = {canon(value) for value in left} - ignored
    b = {canon(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f95([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 096

```python
def f96(board):
    board = list(board)
    known = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if col >= 12 or board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        queue.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f96(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 097

```python
def f97(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices and count > 0:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f97([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 098

```python
def f98(rows, keep, factors):
    rows = list(rows)
    matches = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(factors[group])
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f98([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 099

```python
def f99(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            work = [(row, col)]
            visited.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        work.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f99(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 100

```python
def f100(board):
    board = list(board)
    found = set()
    components = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            pending = [(row, col)]
            found.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        if len(found) >= 100:
                            continue
                        pending.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f100(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 101

```python
def f101(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep and value != 0:
            cost = value * prices[group]
            kept.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': amount, 'groups': totals, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f101([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 102

```python
def f102(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + min(gap, 2):
            segments.append([left, right])
        else:
            segments[-1][1] = right
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(min(100, left - segments[pos - 1][1]))
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f102([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 103

```python
def f103(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    spaces = []
    for pos in range(1, min(50, len(combined))):
        left = combined[pos][0]
        spaces.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': spaces, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f103([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 104

```python
def f104(left, right, banned):
    left = list(left)

    def canon(value):
        return str(value).strip().upper()
    banned = {str(value).upper() for value in banned}
    a = {canon(value) for value in left if canon(value) != canon(value) or canon(value) != ''} - banned
    b = {canon(value) for value in right if canon(value) != ''} - banned
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f104([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 105

```python
def f105(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f105([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 106

```python
def f106(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f106(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 107

```python
def f107(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f107([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 108

```python
def f108(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': leftover, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f108([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 109

```python
def f109(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \r').upper()
    ignored = {str(value).upper() for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f109([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 110

```python
def f110(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f110([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 111

```python
def f111(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    items = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f111(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 112

```python
def f112(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop:
            continue
        frequency[word] = min(9, frequency.get(word, 0) + 1)
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f112(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 113

```python
def f113(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ranking = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in tallies.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ranking[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f113(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 114

```python
def f114(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f114([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 115

```python
def f115(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f115([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 116

```python
def f116(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(totals[:64]) if value > limit]
    growth = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f116([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 117

```python
def f117(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' \n').upper()
    excluded = {str(value).upper() for value in excluded}
    a = {canon(value) for value in left} - excluded
    b = {canon(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f117([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 118

```python
def f118(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) < 2:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    sorteditems = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f118(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 119

```python
def f119(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value > limit]
    ups = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max([0] + series), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f119([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 120

```python
def f120(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f120(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 121

```python
def f121(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap and rate0 != 0:
            ratemap[name0] = rate0
    combined = []
    for key, count in left:
        if key in ratemap:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': leftover, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f121([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 122

```python
def f122(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    finished = set()
    result = []
    rounds = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f122(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 123

```python
def f123(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            score = value * abs(prices[group])
            selected.append((code, score))
            totals[group] = totals.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': totals, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f123([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 124

```python
def f124(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value >= limit and (limit >= 0 or pos > 0)]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': min(256, max(series)), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f124([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 125

```python
def f125(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep:
            cost = value * ratemap[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f125([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 126

```python
def f126(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f126(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 127

```python
def f127(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f127(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 128

```python
def f128(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f128([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 129

```python
def f129(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()[:12]
    banned = {str(value).strip() for value in banned}
    a = {tidy(value) for value in left} - banned
    b = {tidy(value) for value in right} - banned
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f129([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 130

```python
def f130(board):
    board = list(board)
    found = set()
    components = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            pending = [(row, col)]
            found.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        pending.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f130(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 131

```python
def f131(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + max(0, gap):
            combined.append([left, right])
        else:
            combined[-1][1] = right
    breaks = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        breaks.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': breaks, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f131([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 132

```python
def f132(board):
    board = list(board)
    found = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            queue = [(row, col)]
            found.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f132(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 133

```python
def f133(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            work = [(row, col)]
            visited.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        work.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f133(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 134

```python
def f134(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f134([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 135

```python
def f135(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in tallies.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f135(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 136

```python
def f136(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(series) if value >= limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f136([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 137

```python
def f137(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    sequence = []
    groups = []
    while len(handled) < len(nodes) and len(handled) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled))
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f137(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 138

```python
def f138(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f138(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 139

```python
def f139(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(spans)):
        if not result or left >= result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': spaces, 'longest': min(100, max((right - left for left, right in result)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f139([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 140

```python
def f140(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f140([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 141

```python
def f141(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f141(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 142

```python
def f142(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop or len(word) < 2:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    sorteditems = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f142(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 143

```python
def f143(board):
    board = list(board)
    known = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(min(len(board[row]), 10)):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        if len(known) >= 100:
                            continue
                        queue.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f143(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 144

```python
def f144(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f144(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 145

```python
def f145(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f145([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 146

```python
def f146(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + gap:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    breaks = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        breaks.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': breaks, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f146([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 147

```python
def f147(left, right, excluded):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()
    excluded = {tidy(value) for value in excluded}
    a = {tidy(value) for value in left if tidy(value) != tidy(value) or tidy(value) != ''} - excluded
    b = {tidy(value) for value in right if tidy(value) != ''} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f147([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 148

```python
def f148(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left:
        if key in factors:
            matched.append((key, count * factors[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f148([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 149

```python
def f149(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    banned = {str(value).upper() for value in banned}
    a = {normalize(value) for value in left} - banned
    b = {normalize(value) for value in right} - banned
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f149([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 150

```python
def f150(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices and rate0 != 0:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f150([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 151

```python
def f151(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in frequency.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f151(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 152

```python
def f152(rows, keep, factors):
    rows = list(rows)
    kept = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * factors[group]
            kept.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            amount += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': buckets, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f152([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 153

```python
def f153(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()
    ignored = {str(value).upper() for value in ignored}
    a = {tidy(value) for value in left if tidy(value) != tidy(value) or tidy(value) != ''} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f153([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 154

```python
def f154(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = max(0, segments[-1][1], right)
    breaks = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        breaks.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': breaks, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f154([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 155

```python
def f155(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f155(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 156

```python
def f156(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()
    banned = {str(value).upper() for value in banned}
    a = {tidy(value) for value in left} - banned
    b = {tidy(value) for value in right} - banned
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f156([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 157

```python
def f157(board):
    board = list(board)
    found = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            work = [(row, col)]
            found.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        if len(found) >= 100:
                            continue
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f157(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 158

```python
def f158(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in factors:
            matched.append((key, count * factors[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted({key for key, count in left if key not in factors})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': unmatched, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f158([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 159

```python
def f159(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' ').upper()
    banned = {str(value).upper() for value in banned}
    a = {normalize(value) for value in left} - banned
    b = {normalize(value) for value in right} - banned
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f159([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 160

```python
def f160(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f160(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 161

```python
def f161(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f161(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 162

```python
def f162(rows, keep, factors):
    rows = list(rows)
    kept = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(factors[group])
            kept.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            grand += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': grand, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f162([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 163

```python
def f163(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices and count > 0:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f163([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 164

```python
def f164(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = right
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f164([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 165

```python
def f165(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not combined or left > combined[-1][1] + gap % 5:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f165([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 166

```python
def f166(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(spans)):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    breaks = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        breaks.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': breaks, 'longest': min(100, max((right - left for left, right in result)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f166([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 167

```python
def f167(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f167([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 168

```python
def f168(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    combined = []
    for key, count in left:
        if key in ratemap:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted({key for key, count in left if key not in ratemap})
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': unmatched, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f168([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 169

```python
def f169(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f169([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 170

```python
def f170(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in ratemap and count > 0:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f170([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 171

```python
def f171(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value > limit]
    ups = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f171([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 172

```python
def f172(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted({key for key, count in left if key not in ratemap})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': unmatched, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f172([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 173

```python
def f173(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left:
        if key in ratemap and count > 0:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in ratemap})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f173([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 174

```python
def f174(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(series))) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max([0] + series), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f174([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 175

```python
def f175(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans, key=lambda pair: pair[0]):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((min(100, right - left) for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f175([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 176

```python
def f176(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    rootsource = dict(indegree)
    finished = set()
    listing = []
    groups = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f176(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 177

```python
def f177(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    listing = []
    rounds = []
    while len(finished) < len(nodes) and len(finished) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        rounds.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f177(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 178

```python
def f178(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f178([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 179

```python
def f179(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop or len(word) < 2:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f179(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 180

```python
def f180(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(set(spans)):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    gaps = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        gaps.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': gaps, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f180([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 181

```python
def f181(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    finished = set()
    result = []
    groups = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': result, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f181(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 182

```python
def f182(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + gap:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f182([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 183

```python
def f183(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f183([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 184

```python
def f184(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()
    banned = {str(value).upper() for value in banned}
    a = {normalize(value) for value in left} - banned
    b = {normalize(value) for value in right if normalize(value) != ''} - banned
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f184([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 185

```python
def f185(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f185(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 186

```python
def f186(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    growth = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f186([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 187

```python
def f187(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value > limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f187([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 188

```python
def f188(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(prices[group])
            matches.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': sumvalue, 'groups': buckets, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f188([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 189

```python
def f189(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) > 12:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f189(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 190

```python
def f190(board):
    board = list(board)
    known = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        queue.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f190(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 191

```python
def f191(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not segments or left > segments[-1][1] + min(gap, 2):
            segments.append([left, right])
        else:
            segments[-1][1] = max(0, segments[-1][1], right)
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f191([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 192

```python
def f192(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f192([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 193

```python
def f193(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in frequency.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f193(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 194

```python
def f194(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    listing = []
    layers = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f194(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 195

```python
def f195(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': leftover, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f195([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 196

```python
def f196(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f196([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 197

```python
def f197(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = min(9, frequency.get(word, 0) + 1)
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f197(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 198

```python
def f198(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + max(0, gap):
            segments.append([left, right])
        else:
            segments[-1][1] = right
    gaps = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        gaps.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': gaps, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f198([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 199

```python
def f199(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in factors:
            matched.append((key, count * factors[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted({key for key, count in left if key not in factors})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f199([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 200

```python
def f200(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max([0] + series), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f200([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 201

```python
def f201(left, right, excluded):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()
    excluded = {tidy(value) for value in excluded}
    a = {tidy(value) for value in left} - excluded
    b = {tidy(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f201([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 202

```python
def f202(board):
    board = list(board)
    found = set()
    regions = []
    for row in range(len(board)):
        for col in range(min(len(board[row]), 10)):
            if board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            work = [(row, col)]
            found.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        if len(found) >= 100:
                            continue
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f202(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 203

```python
def f203(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f203([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 204

```python
def f204(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f204(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 205

```python
def f205(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            result[-1][1] = right
    gaps = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        gaps.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': gaps, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f205([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 206

```python
def f206(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) > 12:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f206(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 207

```python
def f207(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f207(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 208

```python
def f208(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f208(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 209

```python
def f209(rows, keep, prices):
    rows = list(rows)
    matches = []
    groupmap = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(prices[group])
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            sumvalue += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': sumvalue, 'groups': groupmap, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f209([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 210

```python
def f210(rows, keep, factors):
    rows = list(rows)
    kept = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * abs(factors[group])
            kept.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            sumvalue += charge
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': totals, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f210([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 211

```python
def f211(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(totals) if value > limit]
    ups = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f211([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 212

```python
def f212(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(factors[group])
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f212([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 213

```python
def f213(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip().upper()
    excluded = {str(value).upper() for value in excluded}
    a = {canon(value) for value in left} - excluded
    b = {canon(value) for value in right} - excluded
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f213([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 214

```python
def f214(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f214([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 215

```python
def f215(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()[:12]
    ignored = {normalize(value) for value in ignored}
    a = {normalize(value) for value in left} - ignored
    b = {normalize(value) for value in right} - ignored
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f215([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 216

```python
def f216(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(totals))) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': min(256, max(totals)), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f216([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 217

```python
def f217(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        pending.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f217(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 218

```python
def f218(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f218(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 219

```python
def f219(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap % 5:
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    breaks = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        breaks.append(min(100, left - combined[pos - 1][1]))
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': breaks, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f219([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 220

```python
def f220(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    breaks = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        breaks.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': breaks, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f220([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 221

```python
def f221(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices and count > 0:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f221([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 222

```python
def f222(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * factors[group]
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f222([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 223

```python
def f223(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in ratemap and count > 0:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f223([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 224

```python
def f224(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f224(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 225

```python
def f225(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    rootsource = dict(indegree)
    complete = set()
    result = []
    groups = []
    while len(complete) < len(nodes) and len(complete) < 20:
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in complete))
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            complete.add(node)
            result.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': result, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f225(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 226

```python
def f226(board):
    board = list(board)
    found = set()
    pieces = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in found:
                continue
            cells = []
            work = [(row, col)]
            found.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in found):
                        found.add(nxt)
                        work.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f226(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 227

```python
def f227(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    handled = set()
    listing = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        layers.append(current)
        for node in current:
            handled.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f227(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 228

```python
def f228(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit and (limit >= 0 or pos > 0)]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f228([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 229

```python
def f229(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f229([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 230

```python
def f230(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \r').upper()[:12]
    banned = {tidy(value) for value in banned}
    a = {tidy(value) for value in left if tidy(value) != tidy(value) or tidy(value) != ''} - banned
    b = {tidy(value) for value in right} - banned
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f230([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 231

```python
def f231(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f231([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 232

```python
def f232(rows, keep, prices):
    rows = list(rows)
    selected = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            score = value * abs(prices[group])
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': buckets, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f232([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 233

```python
def f233(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f233([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 234

```python
def f234(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \n').upper()
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f234([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 235

```python
def f235(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    result = []
    rounds = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        rounds.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f235(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 236

```python
def f236(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep and value != 0:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f236([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 237

```python
def f237(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    excluded = {str(value).strip() for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    listing = sorted
    returnvalue = {'both': listing(both), 'left': listing(a - b), 'right': listing(b - a), 'all': listing(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f237([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 238

```python
def f238(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted((pair for pair in spans if pair[0] < pair[1] or pair[0] != pair[1])):
        if not segments or left > segments[-1][1] + gap:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    gaps = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        gaps.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((min(100, right - left) for left, right in segments)), 'holes': gaps, 'longest': min(100, max((right - left for left, right in segments)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f238([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 239

```python
def f239(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap % 5:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f239([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 240

```python
def f240(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f240(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 241

```python
def f241(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit and (limit >= 0 or pos > 0)]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': positions, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f241([4, 12, 7, 5, 8, 7, 12, 10, 14, 24, 23, 23, 13, 15, 10], 3, 25)
```

```
{"best":70,"hits":[4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,20,20,27,29,36,48,61,70,59,51,38]}
```

### 242

```python
def f242(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    ups = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': min(256, max(totals)), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f242([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 243

```python
def f243(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap % 5:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    breaks = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        breaks.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': breaks, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f243([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 244

```python
def f244(rows, keep, factors):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * factors[group]
            selected.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            sumvalue += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, charge in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f244([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 245

```python
def f245(board):
    board = list(board)
    known = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            queue = [(row, col)]
            known.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f245(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 246

```python
def f246(left, right, excluded):
    left = list(left)

    def normalize(value):
        return ' '.join(str(value).split()).upper()
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f246([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 247

```python
def f247(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f247([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 248

```python
def f248(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \n').upper()
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f248([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 249

```python
def f249(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            charge = value * ratemap[group]
            selected.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            grand += charge
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f249([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 250

```python
def f250(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            work = [(row, col)]
            visited.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f250(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 251

```python
def f251(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    sorteditems = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in sorteditems[:5]], 'initials': starts, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f251(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 252

```python
def f252(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * factors[group]
            selected.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            amount += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f252([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 253

```python
def f253(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ranking = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in wordmap.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f253(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 254

```python
def f254(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    items = []
    for key, count in left[:20]:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': leftover, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f254([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 255

```python
def f255(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            work = [(row, col)]
            visited.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        work.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f255(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 256

```python
def f256(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors:
            factors[name0] = rate0
    items = []
    for key, count in left:
        if key in factors:
            items.append((key, count * factors[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f256([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 257

```python
def f257(rows, keep, ratemap):
    rows = list(rows)
    kept = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep:
            score = value * ratemap[group]
            kept.append((code, score))
            totals[group] = totals.get(group, 0) + score
            sumvalue += score
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': totals, 'top': [code for code, score in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f257([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 258

```python
def f258(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f258([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 259

```python
def f259(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices and rate0 != 0:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f259([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 260

```python
def f260(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f260(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 261

```python
def f261(rows, keep, prices):
    rows = list(rows)
    matches = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * prices[group]
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f261([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 262

```python
def f262(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f262([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 263

```python
def f263(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + gap:
            segments.append([left, right])
        else:
            segments[-1][1] = max(0, segments[-1][1], right)
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f263([(2, 7), (5, 12), (14, 19), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":40,"holes":[2,6,8,5],"longest":11,"segments":[[2,12],[14,22],[28,35],[43,54],[59,63]]}
```

### 264

```python
def f264(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if str(state).lower() in {str(item).lower() for item in keep} and value >= 0:
            cost = value * factors[group]
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f264([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 265

```python
def f265(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(spans)):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    gaps = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        gaps.append(min(100, left - result[pos - 1][1]))
    returnvalue = {'segments': result, 'cover': sum((min(100, right - left) for left, right in result)), 'holes': gaps, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f265([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 266

```python
def f266(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[0])):
            if board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f266(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 267

```python
def f267(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    startdegree = dict(needs)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f267(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 268

```python
def f268(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()
    banned = {str(value).strip() for value in banned}
    a = {tidy(value) for value in left} - banned
    b = {tidy(value) for value in right} - banned
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f268([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 269

```python
def f269(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f269(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 270

```python
def f270(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f270(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 271

```python
def f271(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(min(64, len(values) - size + 1)):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    indexes = [pos for pos, value in enumerate(series) if value >= limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': min(256, max(series)), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f271([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### 272

```python
def f272(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if str(state).lower() in {str(item).lower() for item in keep}:
            score = value * abs(prices[group])
            selected.append((code, score))
            totals[group] = totals.get(group, 0) + score
            sumvalue += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': totals, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f272([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 273

```python
def f273(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' \n').upper()
    excluded = {str(value).upper() for value in excluded}
    a = {canon(value) for value in left} - excluded
    b = {canon(value) for value in right if canon(value) != ''} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f273([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 274

```python
def f274(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': unmatched, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f274([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 275

```python
def f275(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            score = value * prices[group]
            kept.append((code, score))
            totals[group] = totals.get(group, 0) + score
            amount += score
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': totals, 'top': [code for code, score in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f275([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 276

```python
def f276(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f276(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 277

```python
def f277(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans, key=lambda pair: (pair[1], pair[0])):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            result[-1][1] = max(0, result[-1][1], right)
    gaps = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        gaps.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': gaps, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f277([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 278

```python
def f278(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f278(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 279

```python
def f279(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    complete = set()
    sequence = []
    groups = []
    while len(complete) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        groups.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f279(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 280

```python
def f280(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = right
    gaps = []
    for pos in range(1, min(50, len(result))):
        left = result[pos][0]
        gaps.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': gaps, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f280([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 281

```python
def f281(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in tallies.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f281(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 282

```python
def f282(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    terms = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f282(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 283

```python
def f283(board):
    board = list(board)
    known = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            work = [(row, col)]
            known.add((row, col))
            while work:
                cur = work.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in known):
                        known.add(nxt)
                        if len(known) >= 100:
                            continue
                        work.append(nxt)
            regions.append((len(cells), min(cells)))
    regions.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in regions], 'anchors': [list(anchor) for size, anchor in regions], 'filled': sum((size for size, anchor in regions)), 'count': len(regions)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f283(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 284

```python
def f284(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    complete = set()
    listing = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            listing.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f284(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 285

```python
def f285(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    handled = set()
    sequence = []
    rounds = []
    while len(handled) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        rounds.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f285(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 286

```python
def f286(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' ').upper()
    ignored = {tidy(value) for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f286([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 287

```python
def f287(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    gaps = []
    for pos in range(1, min(50, len(combined))):
        left = combined[pos][0]
        gaps.append(min(100, left - combined[pos - 1][1]))
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f287([(2, 8), (5, 12), (14, 16), (18, 22), (28, 35), (33, 35), (43, 49), (48, 54), (59, 63)], 1)
```

```
{"cover":38,"holes":[2,2,6,8,5],"longest":11,"segments":[[2,12],[14,16],[18,22],[28,35],[43,54],[59,63]]}
```

### 288

```python
def f288(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()
    excluded = {str(value).strip() for value in excluded}
    a = {normalize(value) for value in left} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f288([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 289

```python
def f289(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f289([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 4)
```

```
{"count":6,"items":[["HR",85],["BR",84],["FP",74],["EV",52],["CX",34]],"missing":["AN","GQ"],"total":357}
```

### 290

```python
def f290(rows, keep, prices):
    rows = list(rows)
    kept = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * prices[group]
            kept.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': sumvalue, 'groups': buckets, 'top': list(dict.fromkeys((code for code, cost in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f290([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 291

```python
def f291(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) > 12:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f291(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 292

```python
def f292(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * prices[group]
            matches.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(matches), 'total': sumvalue, 'groups': buckets, 'top': list(dict.fromkeys((code for code, cost in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f292([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 293

```python
def f293(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    handled = set()
    sequence = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f293(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 294

```python
def f294(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        if len(visited) >= 100:
                            continue
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f294(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 295

```python
def f295(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        tallies[word] = min(9, tallies.get(word, 0) + 1)
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in tallies.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': min(256, sum((len(word) * count for word, count in tallies.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f295(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 296

```python
def f296(board):
    board = list(board)
    visited = set()
    pieces = []
    for row in range(len(board)):
        for col in range(len(board[0])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            pending = [(row, col)]
            visited.add((row, col))
            while pending:
                cur = pending.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        pending.append(nxt)
            pieces.append((len(cells), min(cells)))
    pieces.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in pieces], 'anchors': [list(anchor) for size, anchor in pieces], 'filled': sum((size for size, anchor in pieces)), 'count': len(pieces)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f296(['###...', '##.###', '#.####', '......', '...#.#', '..####'])
```

```
{"anchors":[[1,3],[0,0],[4,3]],"count":3,"filled":19,"sizes":[7,6,6]}
```

### 297

```python
def f297(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ranking = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in wordmap.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f297(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 298

```python
def f298(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in finished))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f298(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 299

```python
def f299(rows, keep, factors):
    rows = list(rows)
    selected = []
    buckets = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(factors[group])
            selected.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': grand, 'groups': buckets, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f299([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 300

```python
def f300(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    items = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f300(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 301

```python
def f301(board):
    board = list(board)
    visited = set()
    components = []
    for row in range(min(len(board), 10 + (len(board) - len(board)))):
        for col in range(len(board[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in visited:
                continue
            cells = []
            queue = [(row, col)]
            visited.add((row, col))
            while queue:
                cur = queue.pop()
                cells.append(cur)
                for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                    nxt = (cur[0] + dr, cur[1] + dc)
                    if 0 <= nxt[0] < len(board) and 0 <= nxt[1] < len(board[nxt[0]]) and (nxt[1] < 12) and (board[nxt[0]][nxt[1]] == '#') and (nxt not in visited):
                        visited.add(nxt)
                        queue.append(nxt)
            components.append((len(cells), min(cells)))
    components.sort(key=lambda item: (-item[0], item[1]))
    returnvalue = {'sizes': [size for size, anchor in components], 'anchors': [list(anchor) for size, anchor in components], 'filled': sum((size for size, anchor in components)), 'count': len(components)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f301(['###...', '##.###', '######', '..#...', '...#.#', '..####'])
```

```
{"anchors":[[0,0],[4,3]],"count":2,"filled":21,"sizes":[15,6]}
```

### 302

```python
def f302(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f302([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 303

```python
def f303(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in frequency.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f303(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 304

```python
def f304(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    items = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f304(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 305

```python
def f305(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    listing = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f305(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 306

```python
def f306(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()[:12]
    ignored = {tidy(value) for value in ignored}
    a = {tidy(value) for value in left if tidy(value) != tidy(value) or tidy(value) != ''} - ignored
    b = {tidy(value) for value in right if tidy(value) != ''} - ignored
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f306([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 307

```python
def f307(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    groupmap = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            charge = value * abs(ratemap[group])
            selected.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            sumvalue += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f307([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 308

```python
def f308(rows, keep, prices):
    rows = list(rows)
    matches = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * abs(prices[group])
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f308([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 309

```python
def f309(left, right, ignored):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()[:12]
    ignored = {str(value).strip() for value in ignored}
    a = {tidy(value) for value in left} - ignored
    b = {tidy(value) for value in right} - ignored
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f309([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 310

```python
def f310(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) < 2:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in tallies.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f310(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 311

```python
def f311(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    rootsource = dict(needs)
    finished = set()
    sequence = []
    groups = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f311(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth')])
```

```
{"batches":[["cache","db"],["auth","jobs"],["api","proxy","worker"],["ui"]],"count":8,"order":["cache","db","auth","jobs","api","proxy","worker","ui"],"roots":["cache","db"]}
```

### 312

```python
def f312(left, right, excluded):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \r').upper()
    excluded = {str(value).strip() for value in excluded}
    a = {tidy(value) for value in left} - excluded
    b = {tidy(value) for value in right} - excluded
    both = a & b
    result = sorted
    returnvalue = {'both': result(both), 'left': result(a - b), 'right': result(b - a), 'all': result(a | b), 'score': sum((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f312([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUEx', 'delta', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUEX","CYAN","DELTA","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","DELTA","GARNET","HELIUM"],"left":["AMBER","IVORY"],"right":["BLUEX","FROST"],"score":21}
```

### 313

```python
def f313(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices and count > 0:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    leftover = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f313([('AN', 3), ('BR', 10), ('CX', 3), ('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)], [('BR', 8), ('CX', 10), ('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)], 3)
```

```
{"count":6,"items":[["HR",84],["BR",83],["FP",73],["EV",51],["CX",33]],"missing":["AN","GQ"],"total":351}
```

### 314

```python
def f314(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f314(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['delta'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"ember":5,"frost":3,"garnet":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"e":5,"f":3,"g":3,"h":3},"size":126,"top":["amber","ember","blue","frost","garnet"]}
```

### 315

```python
def f315(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    excluded = {normalize(value) for value in excluded}
    a = {normalize(value) for value in left if normalize(value) != normalize(value) or normalize(value) != ''} - excluded
    b = {normalize(value) for value in right} - excluded
    both = a & b
    sequence = sorted
    returnvalue = {'both': sequence(both), 'left': sequence(a - b), 'right': sequence(b - a), 'all': sequence(a | b), 'score': sum((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f315([' Amber', 'helium', 'ivory', 'GARNET', 'cyan ', 'delta', 'Ember'], ['helium', 'BLUE', 'deltax', 'cyan ', 'frost', 'GARNET', 'Ember'], ['EMBER'])
```

```
{"all":["AMBER","BLUE","CYAN","DELTA","DELTAX","FROST","GARNET","HELIUM","IVORY"],"both":["CYAN","GARNET","HELIUM"],"left":["AMBER","DELTA","IVORY"],"right":["BLUE","DELTAX","FROST"],"score":16}
```

### 316

```python
def f316(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    complete = set()
    listing = []
    groups = []
    while len(complete) < len(nodes) and len(complete) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in complete), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            complete.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f316(['proxy', 'ui', 'cache', 'auth', 'db', 'worker', 'api', 'jobs'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db')])
```

```
{"batches":[["auth","cache"],["db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache"]}
```

### 317

```python
def f317(rows, keep, factors):
    rows = list(rows)
    kept = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * factors[group]
            kept.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            amount += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': amount, 'groups': buckets, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f317([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":15,"north":357,"south":135},"top":["AN45","AN60","DL30"],"total":507}
```

### 318

```python
def f318(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * abs(prices[group])
            kept.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            amount += charge
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': totals, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f318([('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15), ('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":8,"groups":{"edge":27,"north":357,"south":130},"top":["AN45","AN60","DL30"],"total":514}
```

### 319

```python
def f319(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f319(['Delta, blue. blue amber', 'Frost, delta. delta cyan ember', 'Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'], ['garnet'])
```

```
{"counts":{"amber":6,"blue":3,"cyan":2,"delta":6,"ember":5,"frost":3,"helium":3},"initials":{"a":6,"b":3,"c":2,"d":6,"e":5,"f":3,"h":3},"size":138,"top":["amber","delta","ember","blue","frost"]}
```

### 320

```python
def f320(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(totals) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(totals))) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f320([4, 12, 7, 5, 13, 7, 12, 10, 14, 24, 23, 23, 13, 11, 10], 3, 24)
```

```
{"best":70,"hits":[1,2,3,4,5,6,7,8,9,10,11,12],"rises":7,"sums":[23,24,25,25,32,29,36,48,61,70,59,47,34]}
```

### Final Query

Give me the output of the final query without executing it!

```python
import json, re
from collections import deque
out = {}
left = list((('AN', 3), ('BR', 10), ('CX', 3)) + (('DL', 4), ('EV', 8), ('FP', 10), ('GQ', 6), ('HR', 9)))
right = list((('BR', 8), ('CX', 10)) + (('DL', 6), ('EV', 6), ('FP', 7), ('HR', 9)))
fee = 3
joined = []
for key, count in left:
    matches = [rate for name, rate in right if name == key]
    if matches:
        joined.append([key, count * matches[0] + fee])
joined.sort(key=lambda item: (-item[1], item[0]))
rightkeys = {key for key, rate in right}
record = {'aa': joined[:5], 'bb': sum((item[1] for item in joined)), 'cc': sorted((key for key, count in left if key not in rightkeys)), 'dd': len(joined)}
badge = record['bb']
nodes = list(('proxy', 'ui', 'cache', 'auth', 'db') + ('worker', 'api', 'jobs'))
route = badge
cases = {
    351: list((('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs')) + (('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('auth', 'db'))),
    357: list((('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs')) + (('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui'), ('db', 'auth'))),
}
edges = cases[route]
remaining = set(nodes)
done = set()
order = []
batches = []
while remaining:
    ready = sorted((node for node in remaining if all((before in done for before, after in edges if after == node))))
    if not ready:
        break
    batches.append(ready)
    order.extend(ready)
    done.update(ready)
    remaining.difference_update(ready)
roots = sorted((node for node in nodes if all((after != node for before, after in edges))))
record = {'aa': order, 'bb': batches, 'cc': roots, 'dd': len(order)}
permit = record['aa'][0]
width = 3
route = badge
cases = {
    357: (list((4, 12, 7, 5, 8, 7, 12) + (10, 14, 24, 23, 23, 13, 15, 10)), 25),
    351: (list((4, 12, 7, 5, 13, 7, 12) + (10, 14, 24, 23, 23, 13, 11, 10)), 24),
}
values, limit = cases[route]
current = sum(values[:width])
sums = [current]
for pos in range(width, len(values)):
    current += values[pos] - values[pos - width]
    sums.append(current)
hits = []
rises = 0
for pos, value in enumerate(sums):
    if value >= limit:
        hits.append(pos)
    if pos and value > sums[pos - 1]:
        rises += 1
record = {'aa': hits, 'bb': max(sums), 'cc': rises, 'dd': sums}
signal = record['aa'][0]
keep = list(('ready',) + ('checked',))
rates = dict((('north', 7),) + (('south', 5), ('core', 11), ('edge', 3)))
route = (permit, signal)
cases = {
    ('auth', 1): list((('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 13), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15)) + (('AN71', 'edge', 'checked', 5), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10))),
    ('auth', 4): list((('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15)) + (('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10))),
    ('cache', 1): list((('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15)) + (('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10))),
    ('cache', 4): list((('AN49', 'edge', 'void', 19), ('BR86', 'edge', 'hold', 21), ('CX23', 'south', 'checked', 12), ('AN60', 'north', 'ready', 14), ('DL97', 'south', 'ready', 11), ('AN34', 'edge', 'void', 15)) + (('AN71', 'edge', 'checked', 9), ('BR08', 'north', 'hold', 15), ('AN45', 'north', 'checked', 21), ('BR82', 'south', 'ready', 3), ('DL19', 'south', 'hold', 8), ('DL56', 'north', 'ready', 6), ('AN93', 'core', 'void', 22), ('DL30', 'north', 'ready', 10))),
}
rows = cases[route]
chosen = [(code, group, value) for code, group, state, value in rows if state in keep]
priced = [(code, group, value * rates[group]) for code, group, value in chosen]
groups = {}
for code, group, price in priced:
    groups[group] = groups.get(group, 0) + price
ranked = sorted(priced, key=lambda row: (-row[2], row[0]))
record = {'aa': [row[0] for row in ranked[:3]], 'bb': sum((row[2] for row in priced)), 'cc': len(priced), 'dd': groups}
token = record['bb']
gap = 1
route = token
cases = {
    514: list(((2, 8), (5, 12), (14, 16), (18, 22), (28, 35)) + ((33, 35), (43, 49), (48, 54), (59, 63))),
    507: list(((2, 7), (5, 12), (14, 19), (18, 22), (28, 35)) + ((33, 35), (43, 49), (48, 54), (59, 63))),
}
spans = cases[route]
spans.sort(key=lambda pair: (pair[0], pair[1]))
parts = []
pos = 0
while pos < len(spans):
    left, right = spans[pos]
    pos += 1
    while pos < len(spans) and spans[pos][0] <= right + gap:
        right = max(right, spans[pos][1])
        pos += 1
    parts.append([left, right])
holes = [parts[pos][0] - parts[pos - 1][1] for pos in range(1, len(parts))]
record = {'aa': parts, 'bb': holes, 'cc': sum((part[1] - part[0] for part in parts)), 'dd': max((part[1] - part[0] for part in parts))}
memo = record['cc']
left = list((' Amber', 'helium', 'ivory') + ('GARNET', 'cyan ', 'delta', 'Ember'))
blocked = ['EMBER']
route = memo
cases = {
    40: list(('helium', 'BLUEx', 'delta') + ('cyan ', 'frost', 'GARNET', 'Ember')),
    38: list(('helium', 'BLUE', 'deltax') + ('cyan ', 'frost', 'GARNET', 'Ember')),
}
right = cases[route]
a = set()
b = set()
ban = set()
for value in blocked:
    ban.add(value.strip().upper())
for value in left:
    value = value.strip().upper()
    if value not in ban:
        a.add(value)
for value in right:
    value = value.strip().upper()
    if value not in ban:
        b.add(value)
both = a.intersection(b)
record = {'aa': sorted(both), 'bb': sorted(a.difference(b)), 'cc': sorted(b.difference(a)), 'dd': sorted(a.union(b)), 'ee': sum(map(len, both))}
clue = record['ee']
lines = list(('Delta, blue. blue amber', 'Frost, delta. delta cyan ember') + ('Amber, garnet. delta amber', 'Frost, amber. garnet helium ember', 'Delta, delta. amber cyan', 'Blue, ember. ember helium frost', 'Helium, ember. garnet amber'))
route = clue
cases = {
    16: ['garnet'],
    21: ['delta'],
}
stop = cases[route]
normalized = set()
for item in stop:
    normalized.add(item.lower())
stop = normalized
words = []
for line in lines:
    words.extend(re.findall('[a-z]+', line.lower()))
words = [word for word in words if word not in stop]
counts = {}
initials = {}
for word in words:
    counts[word] = counts.get(word, 0) + 1
    initials[word[0]] = initials.get(word[0], 0) + 1
top = sorted(counts, key=lambda word: (-counts[word], word))[:5]
record = {'aa': top, 'bb': counts, 'cc': initials, 'dd': sum((len(word) for word in words))}
stamp = record['dd']
route = stamp
cases = {
    126: list(('###...', '##.###', '######', '..#...') + ('...#.#', '..####')),
    138: list(('###...', '##.###', '#.####', '......') + ('...#.#', '..####')),
}
board = cases[route]
cells = [(row, col) for row in range(len(board)) for col in range(len(board[row])) if board[row][col] == '#']
parent = {cell: cell for cell in cells}

def root(cell):
    while parent[cell] != cell:
        parent[cell] = parent[parent[cell]]
        cell = parent[cell]
    return cell

def merge(a, b):
    a = root(a)
    b = root(b)
    if a != b:
        parent[b] = a
for row, col in cells:
    for other in ((row - 1, col), (row, col - 1)):
        if other in parent:
            merge((row, col), other)
groups = {}
for cell in cells:
    groups.setdefault(root(cell), []).append(cell)
parts = [(len(group), min(group)) for group in groups.values()]
parts.sort(key=lambda item: (-item[0], item[1]))
record = {'aa': [part[0] for part in parts], 'bb': [list(part[1]) for part in parts], 'cc': len(cells), 'dd': len(parts)}
out['aa'] = record['aa']
out['bb'] = record['bb']
out['cc'] = record['cc']
out['dd'] = record['dd']
print(json.dumps(out, separators=(",", ":"), sort_keys=True))
```