tasks/program-execution-tracing/contexts/sample-00048.md

### 001

```python
def f1(rows, keep, prices):
    rows = list(rows)
    kept = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * prices[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
```

```
f1([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 002

```python
def f2(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        children.setdefault(a, []).append(b)
    distance = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < limit:
            for nxt in (node for node in sorted(children.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.append(nxt)
    result = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': result, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f2([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 003

```python
def f3(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.setdefault(a, []).append(b)
    steps = {start: 0} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in (node for node in sorted(children.get(cur, [])) if len(str(node)) == 1):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    sequence = list(steps)
    edge = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': edge[:3], 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f3([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 004

```python
def f4(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
```

```
f4(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 005

```python
def f5(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in (node for node in sorted(nextmap.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    result = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': result, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f5([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 006

```python
def f6(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            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
```

```
f6([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 007

```python
def f7(board):
    board = list(board)
    found = 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 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)
            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
```

```
f7(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 008

```python
def f8(rows, keep, ratemap):
    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}:
            charge = value * ratemap[group]
            selected.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            amount += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': buckets, 'top': list(dict.fromkeys((code for code, charge in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f8([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 009

```python
def f9(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    items = []
    for key, count in left:
        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
```

```
f9([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 010

```python
def f10(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        nextmap.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in (node for node in sorted(nextmap.get(cur, [])) if len(str(node)) == 1):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': furthest[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f10([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 011

```python
def f11(left, right, banned):
    left = list(left)

    def canon(value):
        return str(value).strip().upper()[:12]
    banned = {canon(value) for value in banned}
    a = {str(value).upper() for value in left} - 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
```

```
f11(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 012

```python
def f12(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in repeats:
                repeats.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f12([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 013

```python
def f13(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
    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
```

```
f13(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 014

```python
def f14(rows, keep, prices):
    rows = list(rows)
    matches = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(prices[group])
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f14([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 015

```python
def f15(left, right, excluded):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').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
    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
```

```
f15(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 016

```python
def f16(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        children.setdefault(a, []).append(b)
    levels = {start: 0} if any((start in edge for edge in edges)) else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    lastlevel = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': lastlevel[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f16([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 017

```python
def f17(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        children.setdefault(a, []).append(b)
    levels = {start: 0} if any((start in edge for edge in edges)) else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    work.append(nxt)
    sequence = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': furthest[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f17([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 018

```python
def f18(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
```

```
f18([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 019

```python
def f19(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in known and list(point) not in repeats:
                repeats.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f19([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 020

```python
def f20(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap or rate0 <= rate0 + 0:
            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]))
    unmatched = 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': unmatched, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f20([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 021

```python
def f21(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 = []
            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
```

```
f21(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 022

```python
def f22(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]))
    unmatched = 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': unmatched, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f22([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 023

```python
def f23(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
    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
```

```
f23(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 024

```python
def f24(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in crossings:
                crossings.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f24([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 025

```python
def f25(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:32]:
        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
    sorteditems = 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 sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f25(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 026

```python
def f26(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip(' ').upper()[:12]
    banned = {tidy(value) 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f26(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 027

```python
def f27(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        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
        wordmap[word] = wordmap.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f27(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 028

```python
def f28(board):
    board = list(board)
    visited = set()
    regions = []
    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)
            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
```

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

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 029

```python
def f29(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans, key=lambda pair: (pair[1], pair[0])):
        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': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f29([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 030

```python
def f30(rows, keep, factors):
    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}:
            charge = value * abs(factors[group])
            selected.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            amount += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': buckets, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f30([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 031

```python
def f31(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(set(spans)):
        if not segments or left > segments[-1][1] + max(0, gap):
            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
```

```
f31([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 032

```python
def f32(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)
                        if len(found) >= 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
```

```
f32(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 033

```python
def f33(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) 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) > 12:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = 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 ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f33(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 034

```python
def f34(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges[:16]:
        children.setdefault(a, []).append(b)
    steps = {start: 0} if any((start in edge for edge in edges)) else {}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    pending.append(nxt)
    result = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': result, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f34([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 035

```python
def f35(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges[:16]:
        routes.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in levels and (not nxt.startswith('Z')):
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    lastlevel = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': lastlevel, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f35([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 036

```python
def f36(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted((pair for pair in spans if pair[0] < pair[1] or pair[0] != pair[1])):
        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(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': gaps, 'longest': min(100, max((right - left for left, right in result)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f36([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 037

```python
def f37(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(routes.get(cur, []))[:20]:
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    result = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': result, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f37([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 038

```python
def f38(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').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((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f38(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 039

```python
def f39(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 = []
            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
```

```
f39(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 040

```python
def f40(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] + max(0, 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
```

```
f40([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 041

```python
def f41(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x = max(-64, min(64, x + dx))
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f41([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 042

```python
def f42(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 = []
            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
```

```
f42(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 043

```python
def f43(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' \r').upper()
    excluded = {canon(value) 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
```

```
f43(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 044

```python
def f44(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 = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f44(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 045

```python
def f45(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * ratemap[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(dict.fromkeys(selected)), 'total': sumvalue, 'groups': totals, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f45([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 046

```python
def f46(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) < 2:
            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
```

```
f46(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 047

```python
def f47(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        children.setdefault(a, []).append(b)
    levels = {start: 0} if any((start in edge for edge in edges)) else {} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f47([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 048

```python
def f48(board):
    board = list(board)
    visited = set()
    components = []
    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)
            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":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 049

```python
def f49(rows, keep, factors):
    rows = list(rows)
    matches = []
    groupmap = {}
    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 * abs(factors[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': list(dict.fromkeys((code for code, cost in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f49([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 050

```python
def f50(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f50([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 051

```python
def f51(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[: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
        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
```

```
f51(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 052

```python
def f52(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} - banned
    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
```

```
f52(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 053

```python
def f53(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x = max(-64, min(64, x + dx))
            y += dy
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f53([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 054

```python
def f54(rows, keep, ratemap):
    rows = list(rows)
    matches = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * ratemap[group]
            matches.append((code, score))
            groupmap[group] = groupmap.get(group, 0) + score
            amount += score
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': groupmap, 'top': list(dict.fromkeys((code for code, score in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f54([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 055

```python
def f55(board):
    board = list(board)
    found = 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 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)
                        if len(found) >= 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
```

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

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 056

```python
def f56(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.setdefault(a, []).append(b)
    distance = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in (node for node in sorted(children.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.append(nxt)
    listing = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': listing, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f56([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 057

```python
def f57(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0} if any((start in edge for edge in edges)) else {}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(routes.get(cur, []))[:20]:
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    pending.append(nxt)
    result = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': result, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f57([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 058

```python
def f58(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 or len(word) < 2:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f58(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 059

```python
def f59(lines, stop):
    lines = list(lines)
    wordmap = {}
    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:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ordered = 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 ordered[:5]], 'initials': starts, 'size': min(256, sum((len(word) * count for word, count in wordmap.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f59(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 060

```python
def f60(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]))
    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 sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f60(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 061

```python
def f61(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(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
```

```
f61([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 062

```python
def f62(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]))
    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
```

```
f62([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 063

```python
def f63(lines, stop):
    lines = list(lines)
    wordmap = {}
    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[: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
```

```
f63(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 064

```python
def f64(lines, stop):
    lines = list(lines)
    tallies = {}
    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
        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
```

```
f64(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 065

```python
def f65(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * prices[group]
            matches.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            amount += charge
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': buckets, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f65([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 066

```python
def f66(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f66([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 067

```python
def f67(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 = []
            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
```

```
f67(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 068

```python
def f68(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()[:12]
    banned = {normalize(value) for value in banned}
    a = {str(value).upper() for value in left} - 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
```

```
f68(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 069

```python
def f69(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * prices[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
```

```
f69([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 070

```python
def f70(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors:
            factors[name0] = rate0
    combined = []
    for key, count in left:
        if key in factors and count > 0:
            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(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f70([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 071

```python
def f71(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in found and list(point) not in repeats:
                repeats.append(list(point))
            found.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f71([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 072

```python
def f72(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        children.setdefault(a, []).append(b)
    levels = {start: 0} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f72([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 073

```python
def f73(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]))
    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
```

```
f73([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 074

```python
def f74(rows, keep, factors):
    rows = list(rows)
    selected = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            cost = value * factors[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f74([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 075

```python
def f75(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]))
    unmatched = 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': unmatched, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f75([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 076

```python
def f76(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] + 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(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
```

```
f76([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 077

```python
def f77(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(spans)):
        if not result or left > result[-1][1] + gap % 5:
            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
```

```
f77([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 078

```python
def f78(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]))
    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
```

```
f78([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 079

```python
def f79(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)
                        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
```

```
f79(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 080

```python
def f80(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 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)
            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
```

```
f80(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 081

```python
def f81(board):
    board = list(board)
    found = 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 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)
                        if len(found) >= 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
```

```
f81(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 082

```python
def f82(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f82([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 083

```python
def f83(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f83([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 084

```python
def f84(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        children.setdefault(a, []).append(b)
    levels = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if levels[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    pending.append(nxt)
    result = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': result, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f84([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 085

```python
def f85(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        routes.setdefault(a, []).append(b)
    distance = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.append(nxt)
    sequence = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f85([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 086

```python
def f86(rows, keep, ratemap):
    rows = list(rows)
    kept = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * ratemap[group]
            kept.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f86([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 087

```python
def f87(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[:20]:
        if key in ratemap:
            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({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f87([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 088

```python
def f88(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip().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
```

```
f88(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 089

```python
def f89(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:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f89([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 090

```python
def f90(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 = []
            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 (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
```

```
f90(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 091

```python
def f91(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()[:12]
    banned = {normalize(value) for value in banned}
    a = {str(value).upper() 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f91(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 092

```python
def f92(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges:
        nextmap.setdefault(a, []).append(b)
    steps = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    pending.append(nxt)
    sequence = list(steps)
    edge = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': edge, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f92([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 093

```python
def f93(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges[:16]:
        nextmap.setdefault(a, []).append(b)
    steps = {start: 0} if any((start in edge for edge in edges)) else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    sequence = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': furthest[:3], 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f93([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 094

```python
def f94(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap and rate0 != 0:
            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
```

```
f94([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 095

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

    def normalize(value):
        return ' '.join(str(value).split()).upper()
    banned = {normalize(value) for value in banned}
    a = {normalize(value) for value in left} - 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f95(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 096

```python
def f96(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:
            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] = min(9, 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
```

```
f96(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 097

```python
def f97(rows, keep, prices):
    rows = list(rows)
    selected = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * prices[group]
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            sumvalue += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': buckets, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f97([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 098

```python
def f98(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], 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
```

```
f98([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 099

```python
def f99(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap or rate0 <= rate0 + 0:
            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]))
    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
```

```
f99([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 100

```python
def f100(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges[:16]:
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    result = list(distance)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': result, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f100([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 101

```python
def f101(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:
            if 'a' <= char <= 'z' or (char == "'" and word):
                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]))
    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 ranking[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f101(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 102

```python
def f102(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f102([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 103

```python
def f103(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    listing = list(steps)
    lastlevel = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': listing, 'depth': steps, 'frontier': lastlevel[:3], 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f103([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 104

```python
def f104(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        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': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f104([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 105

```python
def f105(board):
    board = list(board)
    found = 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 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)
                        if len(found) >= 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
```

```
f105(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 106

```python
def f106(rows, keep, prices):
    rows = list(rows)
    kept = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * abs(prices[group])
            kept.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            amount += charge
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': amount, 'groups': groupmap, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f106([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 107

```python
def f107(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] + 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': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f107([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 108

```python
def f108(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[row])):
            if col >= 12 or board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f108(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 109

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

    def tidy(value):
        return ' '.join(str(value).split()).upper()
    banned = {tidy(value) for value in banned}
    a = {str(value).upper() 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
```

```
f109(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 110

```python
def f110(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in found and list(point) not in crossings:
                crossings.append(list(point))
            found.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f110([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 111

```python
def f111(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()[:12]
    banned = {normalize(value) 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f111(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 112

```python
def f112(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in repeats:
                repeats.append(list(point))
            visited.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f112([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 113

```python
def f113(left, right, banned):
    left = list(left)

    def normalize(value):
        return ' '.join(str(value).split()).upper()
    banned = {str(value).upper() for value in banned}
    a = {str(value).upper() 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
```

```
f113(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 114

```python
def f114(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f114([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 115

```python
def f115(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f115([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 116

```python
def f116(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] = 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
```

```
f116([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 117

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

    def normalize(value):
        return str(value).strip(' \r').upper()
    excluded = {str(value).upper() for value in excluded}
    a = {str(value).upper() 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
```

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

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

### 118

```python
def f118(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) 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 or len(word) < 2:
            continue
        wordmap[word] = min(9, wordmap.get(word, 0) + 1)
    ordered = 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 ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f118(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 119

```python
def f119(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[: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
```

```
f119(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 120

```python
def f120(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 = []
            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)
            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
```

```
f120(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 121

```python
def f121(rows, keep, ratemap):
    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(ratemap[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(selected), 'total': amount, 'groups': totals, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f121([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 122

```python
def f122(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)
    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
```

```
f122([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 123

```python
def f123(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' \r').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((len(value) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f123(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 124

```python
def f124(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}:
            charge = value * abs(prices[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(selected), 'total': sumvalue, 'groups': totals, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f124([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 125

```python
def f125(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(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)
    breaks = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        breaks.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((min(100, right - left) for left, right in result)), 'holes': breaks, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f125([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 126

```python
def f126(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] = max(segments[-1][1], right)
    gaps = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        gaps.append(min(100, left - segments[pos - 1][1]))
    returnvalue = {'segments': segments, 'cover': sum((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
```

```
f126([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 127

```python
def f127(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
```

```
f127(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 128

```python
def f128(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' ').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
    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
```

```
f128(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 129

```python
def f129(rows, keep, prices):
    rows = list(rows)
    matches = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * prices[group]
            matches.append((code, score))
            totals[group] = totals.get(group, 0) + score
            amount += score
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': totals, 'top': [code for code, score in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f129([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 130

```python
def f130(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] = right
    breaks = []
    for pos in range(1, min(50, 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
```

```
f130([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 131

```python
def f131(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f131([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 132

```python
def f132(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)
    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
```

```
f132([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 133

```python
def f133(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in repeats:
                repeats.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f133([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 134

```python
def f134(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < min(limit, 3):
            for nxt in (node for node in sorted(nextmap.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.append(nxt)
    sequence = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f134([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 135

```python
def f135(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:
        if key in ratemap and count > 0:
            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(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f135([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 136

```python
def f136(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    groupmap = {}
    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 str(state).lower() in {str(item).lower() for item in keep} and value >= 0:
            charge = value * ratemap[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(selected), 'total': amount, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f136([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 137

```python
def f137(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[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f137(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 138

```python
def f138(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 = []
            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)
                        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
```

```
f138(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 139

```python
def f139(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f139([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 140

```python
def f140(left, right, ignored):
    left = list(left)

    def canon(value):
        return str(value).strip(' \r').upper()
    ignored = {canon(value) for value in ignored}
    a = {str(value).upper() for value in left} - ignored
    b = {canon(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
```

```
f140(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 141

```python
def f141(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f141([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 142

```python
def f142(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < min(limit, 3):
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    sequence = list(distance)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f142([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 143

```python
def f143(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[: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 or len(word) > 12:
            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
```

```
f143(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 144

```python
def f144(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y = max(-64, min(64, y + dy))
            used = min(64, used + 1)
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f144([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 145

```python
def f145(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:
        if key in ratemap and count > 0:
            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
```

```
f145([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 146

```python
def f146(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)
                        if len(found) >= 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
```

```
f146(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 147

```python
def f147(board):
    board = list(board)
    visited = set()
    components = []
    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 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)
            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
```

```
f147(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 148

```python
def f148(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f148([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 149

```python
def f149(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] = max(segments[-1][1], right)
    spaces = []
    for pos in range(1, min(50, 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
```

```
f149([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 150

```python
def f150(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f150(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 151

```python
def f151(rows, keep, factors):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            score = value * factors[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
```

```
f151([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 152

```python
def f152(board):
    board = list(board)
    visited = set()
    regions = []
    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 = []
            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
```

```
f152(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 153

```python
def f153(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] = 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
```

```
f153([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 154

```python
def f154(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] = max(0, 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': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f154([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 155

```python
def f155(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)
    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
```

```
f155([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 156

```python
def f156(board):
    board = list(board)
    visited = set()
    regions = []
    for row in range(len(board)):
        for col in range(len(board[row])):
            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)
            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
```

```
f156(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 157

```python
def f157(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[:64]:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ranking = 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 ranking[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f157(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 158

```python
def f158(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:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    unmatched = 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': unmatched, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f158([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 159

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

    def normalize(value):
        return str(value).strip(' \n').upper()
    excluded = {normalize(value) for value in excluded}
    a = {str(value).upper() 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
```

```
f159(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 160

```python
def f160(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]))
    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
```

```
f160([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 161

```python
def f161(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(spans)):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            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
```

```
f161([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 162

```python
def f162(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[: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
        tallies[word] = tallies.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f162(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 163

```python
def f163(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 if normalize(value) != ''} - excluded
    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
```

```
f163(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 164

```python
def f164(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    sumvalue = 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
            sumvalue += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': groupmap, 'top': list(dict.fromkeys((code for code, score in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f164([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 165

```python
def f165(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors and rate0 != 0:
            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
```

```
f165([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 166

```python
def f166(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in found and list(point) not in repeats:
                repeats.append(list(point))
            found.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f166([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 167

```python
def f167(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f167(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 168

```python
def f168(lines, stop):
    lines = list(lines)
    tallies = {}
    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
        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
```

```
f168(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 169

```python
def f169(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans, key=lambda pair: pair[0]):
        if not result or left > result[-1][1] + min(gap, 2):
            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
```

```
f169([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 170

```python
def f170(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]))
    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
```

```
f170([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 171

```python
def f171(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices or rate0 <= rate0 + 0:
            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]))
    unmatched = 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': unmatched, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f171([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 172

```python
def f172(left, right, excluded):
    left = list(left)

    def canon(value):
        return str(value).strip(' ').upper()
    excluded = {str(value).upper() for value in excluded}
    a = {str(value).upper() 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
```

```
f172(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 173

```python
def f173(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip(' ').upper()[:12]
    ignored = {str(value).upper() 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
```

```
f173(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 174

```python
def f174(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] + gap:
            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((min(100, 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
```

```
f174([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 175

```python
def f175(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]))
    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
```

```
f175([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 176

```python
def f176(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f176([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 177

```python
def f177(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x = max(-64, min(64, x + dx))
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f177([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 178

```python
def f178(lines, stop):
    lines = list(lines)
    wordmap = {}
    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
        wordmap[word] = wordmap.get(word, 0) + 1
    ranking = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in wordmap.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ranking[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f178(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 179

```python
def f179(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in found and list(point) not in crossings:
                crossings.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f179([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 180

```python
def f180(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in repeats:
                repeats.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f180([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 181

```python
def f181(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:
            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
    sorteditems = 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 sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f181(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 182

```python
def f182(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:
            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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f182(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 183

```python
def f183(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        children.setdefault(a, []).append(b)
    distance = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < limit:
            for nxt in (node for node in sorted(children.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.append(nxt)
    sequence = list(distance)
    lastlevel = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': lastlevel, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f183([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 184

```python
def f184(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 = []
            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)
            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
```

```
f184(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 185

```python
def f185(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    repeats = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in found and list(point) not in repeats:
                repeats.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f185([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 186

```python
def f186(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]))
    unmatched = 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': unmatched, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f186([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 187

```python
def f187(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f187([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 188

```python
def f188(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
```

```
f188([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 189

```python
def f189(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] = 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((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
```

```
f189([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 190

```python
def f190(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    excluded = {normalize(value) for value in excluded}
    a = {str(value).upper() 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f190(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 191

```python
def f191(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 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
```

```
f191([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 192

```python
def f192(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x = max(-64, min(64, x + dx))
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f192([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 193

```python
def f193(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
    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
```

```
f193(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 194

```python
def f194(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip(' \n').upper()
    banned = {str(value).upper() for value in banned}
    a = {str(value).upper() 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
```

```
f194(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 195

```python
def f195(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':
                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]))
    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
```

```
f195(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 196

```python
def f196(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
```

```
f196(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 197

```python
def f197(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        routes.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < min(limit, 3):
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    result = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': result, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f197([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 198

```python
def f198(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans, key=lambda pair: pair[0]):
        if not result or left > result[-1][1] + gap % 5:
            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
```

```
f198([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 199

```python
def f199(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in known and list(point) not in crossings:
                crossings.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f199([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 200

```python
def f200(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors or rate0 <= rate0 + 0:
            factors[name0] = rate0
    matched = []
    for key, count in left:
        if key in factors and count > 0:
            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
```

```
f200([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 201

```python
def f201(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            kept.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f201([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 202

```python
def f202(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] = min(9, frequency.get(word, 0) + 1)
    sorteditems = 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 sorteditems[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f202(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 203

```python
def f203(left, right, banned):
    left = list(left)

    def canon(value):
        return str(value).strip(' ').upper()
    banned = {canon(value) for value in banned}
    a = {str(value).upper() for value in left} - banned
    b = {canon(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
```

```
f203(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 204

```python
def f204(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:
            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
        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': min(256, sum((len(word) * count for word, count in tallies.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f204(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 205

```python
def f205(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 col >= 12 or board[row][col] != '#' or (row, col) in known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f205(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 206

```python
def f206(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() 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] = min(9, 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
```

```
f206(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 207

```python
def f207(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    listing = list(steps)
    lastlevel = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': listing, 'depth': steps, 'frontier': lastlevel, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f207([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 208

```python
def f208(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 * prices[group]
            selected.append((code, score))
            totals[group] = totals.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    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
```

```
f208([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 209

```python
def f209(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)
    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
```

```
f209([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 210

```python
def f210(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(0, result[-1][1], right)
    gaps = []
    for pos in range(1, min(50, len(result))):
        left = result[pos][0]
        gaps.append(min(100, 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
```

```
f210([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 211

```python
def f211(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x += dx
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = min(64, max(far, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f211([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 212

```python
def f212(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] = 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
```

```
f212([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 213

```python
def f213(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 = []
            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)
            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
```

```
f213(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 214

```python
def f214(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[:20]:
        if key in factors:
            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(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f214([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 215

```python
def f215(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
```

```
f215([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 216

```python
def f216(board):
    board = list(board)
    found = 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 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)
            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
```

```
f216(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 217

```python
def f217(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        children.setdefault(a, []).append(b)
    levels = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    pending.append(nxt)
    listing = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': listing, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f217([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 218

```python
def f218(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines[:32]:
        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]))
    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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f218(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 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] = 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
```

```
f219([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 220

```python
def f220(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]))
    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
```

```
f220([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 221

```python
def f221(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f221([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 222

```python
def f222(lines, stop):
    lines = list(lines)
    tallies = {}
    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:
        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
```

```
f222(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 223

```python
def f223(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)
    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
```

```
f223([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 224

```python
def f224(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]))
    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({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f224([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 225

```python
def f225(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * abs(prices[group])
            kept.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            grand += charge
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': grand, 'groups': totals, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f225([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 226

```python
def f226(left, right, banned):
    left = list(left)

    def canon(value):
        return str(value).strip().upper()
    banned = {str(value).upper() for value in banned}
    a = {str(value).upper() for value in left} - banned
    b = {canon(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
```

```
f226(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 227

```python
def f227(left, right, banned):
    left = list(left)

    def canon(value):
        return ' '.join(str(value).split()).upper()
    banned = {str(value).upper() for value in banned}
    a = {canon(value) for value in left} - banned
    b = {canon(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
```

```
f227(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 228

```python
def f228(rows, keep, ratemap):
    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} and value >= 0:
            charge = value * ratemap[group]
            selected.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            amount += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, charge in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f228([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 229

```python
def f229(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:
        if key in prices:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    unmatched = 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': unmatched, 'count': len(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f229([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 230

```python
def f230(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (max(-64, min(lowx, x)), min(64, max(highx, x)))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f230([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 231

```python
def f231(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * prices[group]
            selected.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            grand += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f231([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 232

```python
def f232(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]))
    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({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f232([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 233

```python
def f233(lines, stop):
    lines = list(lines)
    wordmap = {}
    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
        wordmap[word] = wordmap.get(word, 0) + 1
    ordered = 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 ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f233(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 234

```python
def f234(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    sequence = list(steps)
    edge = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': edge, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f234([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 235

```python
def f235(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()
    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 if tidy(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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f235(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 236

```python
def f236(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        nextmap.setdefault(a, []).append(b)
    steps = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in (node for node in sorted(nextmap.get(cur, [])) if len(str(node)) == 1):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    pending.append(nxt)
    sequence = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f236([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 237

```python
def f237(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 = []
            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)
            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
```

```
f237(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 238

```python
def f238(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:
            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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f238(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 239

```python
def f239(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] = 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
```

```
f239([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 240

```python
def f240(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges[:16]:
        children.setdefault(a, []).append(b)
    steps = {start: 0} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    result = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': result, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f240([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 241

```python
def f241(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        routes.setdefault(a, []).append(b)
    distance = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.append(nxt)
    sequence = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f241([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 242

```python
def f242(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        children.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    sequence = list(levels)
    furthest = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': furthest, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f242([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 243

```python
def f243(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, 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
```

```
f243([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 244

```python
def f244(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        children.setdefault(a, []).append(b)
    steps = {start: 0} if any((start in edge for edge in edges)) else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in steps and (not nxt.startswith('Z')):
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    sequence = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f244([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 245

```python
def f245(board):
    board = list(board)
    known = 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 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":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 246

```python
def f246(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 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 (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
```

```
f246(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 247

```python
def f247(rows, keep, factors):
    rows = list(rows)
    kept = []
    groupmap = {}
    grand = 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))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f247([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 248

```python
def f248(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    items = []
    for line in lines[:20]:
        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
        wordmap[word] = wordmap.get(word, 0) + 1
    ordered = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in wordmap.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f248(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 249

```python
def f249(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        routes.setdefault(a, []).append(b)
    distance = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.append(nxt)
    result = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': result, 'depth': distance, 'frontier': furthest[:3], 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f249([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 250

```python
def f250(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x = max(-64, min(64, x + dx))
            y += dy
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f250([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 251

```python
def f251(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.setdefault(a, []).append(b)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    queue.append(nxt)
    sequence = list(steps)
    lastlevel = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': lastlevel, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f251([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 252

```python
def f252(rows, keep, ratemap):
    rows = list(rows)
    kept = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * abs(ratemap[group])
            kept.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            grand += charge
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': grand, 'groups': totals, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f252([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 253

```python
def f253(rows, keep, factors):
    rows = list(rows)
    matches = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            score = value * factors[group]
            matches.append((code, score))
            totals[group] = totals.get(group, 0) + score
            sumvalue += score
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(matches), 'total': sumvalue, 'groups': totals, 'top': list(dict.fromkeys((code for code, score in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f253([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 254

```python
def f254(left, right, excluded):
    left = list(left)

    def canon(value):
        return ' '.join(str(value).split()).upper()
    excluded = {str(value).upper() for value in excluded}
    a = {str(value).upper() 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
```

```
f254(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 255

```python
def f255(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    found = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in found and list(point) not in returns:
                returns.append(list(point))
            found.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f255([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 256

```python
def f256(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:
        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({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f256([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 257

```python
def f257(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 = []
            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)
            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
```

```
f257(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 258

```python
def f258(left, right, ignored):
    left = list(left)

    def canon(value):
        return str(value).strip(' \n').upper()
    ignored = {canon(value) for value in ignored}
    a = {str(value).upper() for value in left} - ignored
    b = {canon(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
```

```
f258(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 259

```python
def f259(rows, keep, factors):
    rows = list(rows)
    matches = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * factors[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(dict.fromkeys(matches)), 'total': sumvalue, 'groups': buckets, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f259([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 260

```python
def f260(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep} and value >= 0:
            score = value * ratemap[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(dict.fromkeys(selected)), 'total': amount, 'groups': groupmap, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f260([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 261

```python
def f261(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:
        if key in factors and count > 0:
            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
```

```
f261([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 262

```python
def f262(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if edge[0] <= edge[1]):
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0} if any((start in edge for edge in edges)) else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    sequence = list(distance)
    lastlevel = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': lastlevel, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f262([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 263

```python
def f263(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count % 100):
            x = max(-64, min(64, x + dx))
            y += dy
            used = min(64, used + 1)
            point = (x, y)
            if point in visited and list(point) not in crossings:
                crossings.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f263([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2)])
```

```
{"bounds":[0,-13,8,0],"end":[8,-11],"far":21,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":35}
```

### 264

```python
def f264(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f264(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 265

```python
def f265(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges[:16]:
        routes.setdefault(a, []).append(b)
    levels = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if levels[cur] < limit:
            for nxt in (node for node in sorted(routes.get(cur, [])) if len(str(node)) == 1):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    work.append(nxt)
    sequence = list(levels)
    edge = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': sequence, 'depth': levels, 'frontier': edge, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f265([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 266

```python
def f266(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] + max(0, 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
```

```
f266([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 267

```python
def f267(lines, stop):
    lines = list(lines)
    tallies = {}
    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:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in tallies.items())))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f267(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 268

```python
def f268(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[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': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f268([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 269

```python
def f269(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in (edge for edge in edges if len(edge[0]) < 2):
        routes.setdefault(a, []).append(b)
    distance = {start: 0} if any((start in edge for edge in edges)) else {} if limit > 0 or limit < 0 else {}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    listing = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': listing, 'depth': distance, 'frontier': furthest, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f269([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 270

```python
def f270(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[: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]))
    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
```

```
f270(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 271

```python
def f271(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 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
```

```
f271(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 272

```python
def f272(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[:20]:
        if key in prices and count > 0:
            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
```

```
f272([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 273

```python
def f273(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[:20]:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    unmatched = 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': unmatched, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f273([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 274

```python
def f274(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
```

```
f274([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 275

```python
def f275(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(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f275([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 276

```python
def f276(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(0, result[-1][1], right)
    spaces = []
    for pos in range(1, min(50, 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
```

```
f276([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 277

```python
def f277(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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f277(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 278

```python
def f278(rows, keep, prices):
    rows = list(rows)
    matches = []
    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 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(dict.fromkeys(matches)), 'total': amount, 'groups': totals, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f278([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 279

```python
def f279(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in crossings:
                crossings.append(list(point))
            visited.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f279([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 280

```python
def f280(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges[:16]:
        routes.setdefault(a, []).append(b)
    distance = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, []))[:20]:
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.append(nxt)
    sequence = list(distance)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f280([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 281

```python
def f281(lines, stop):
    lines = list(lines)
    wordmap = {}
    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:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ordered = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    heads = {}
    for word, count in wordmap.items():
        heads[word[0]] = heads.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ordered[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f281(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 282

```python
def f282(board):
    board = list(board)
    visited = set()
    components = []
    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 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
```

```
f282(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 283

```python
def f283(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.add(nxt)
                        if len(known) >= 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
```

```
f283(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 284

```python
def f284(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)
    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
```

```
f284([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 285

```python
def f285(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] = max(0, 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
```

```
f285([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 286

```python
def f286(left, right, excluded):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()[:12]
    excluded = {str(value).upper() for value in excluded}
    a = {tidy(value) for value in left} - excluded
    b = {tidy(value) for value in right if tidy(value) != ''} - 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
```

```
f286(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 287

```python
def f287(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    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:
            score = value * abs(factors[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(dict.fromkeys(selected)), 'total': amount, 'groups': groupmap, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f287([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 288

```python
def f288(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:
        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(matched)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f288([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 289

```python
def f289(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    crossings = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x += dx
            y = max(-64, min(64, y + dy))
            used += 1
            point = (x, y)
            if point in known and list(point) not in crossings:
                crossings.append(list(point))
            known.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': crossings[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f289([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 290

```python
def f290(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[:20]:
        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
```

```
f290([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 291

```python
def f291(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.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
```

```
f291(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 292

```python
def f292(board):
    board = list(board)
    known = 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 known:
                continue
            cells = []
            pending = [(row, col)]
            known.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 known):
                        known.add(nxt)
                        if len(known) >= 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
```

```
f292(['##.#..', '..##..', '.#.#.#', '#####.', '#..#.#', '.#....'])
```

```
{"anchors":[[0,3],[0,0],[2,5],[4,5],[5,1]],"count":5,"filled":17,"sizes":[12,2,1,1,1]}
```

### 293

```python
def f293(board):
    board = list(board)
    known = 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 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)
                        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
```

```
f293(['##....', '..##..', '.#.#.#', '#####.', '#..#.#', '......'])
```

```
{"anchors":[[1,2],[0,0],[2,5],[4,5]],"count":4,"filled":15,"sizes":[11,2,1,1]}
```

### 294

```python
def f294(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()[:12]
    banned = {normalize(value) 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((min(len(value), 8) for value in both))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f294(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 295

```python
def f295(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] = 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': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f295([(4, 11), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67)], 2)
```

```
{"cover":49,"holes":[4,3,3,4],"longest":12,"segments":[[4,11],[15,26],[29,41],[44,56],[60,67]]}
```

### 296

```python
def f296(rows, keep, factors):
    rows = list(rows)
    matches = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(factors[group])
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            sumvalue += cost
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(matches), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f296([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 297

```python
def f297(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], item[0]))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': buckets, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f297([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 298

```python
def f298(left, right, banned):
    left = list(left)

    def tidy(value):
        return str(value).strip().upper()
    banned = {tidy(value) for value in banned}
    a = {str(value).upper() 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
```

```
f298(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 299

```python
def f299(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) 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
        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
```

```
f299(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 300

```python
def f300(lines, stop):
    lines = list(lines)
    tallies = {}
    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
        tallies[word] = tallies.get(word, 0) + 1
    sorteditems = 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 sorteditems[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f300(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 301

```python
def f301(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(set(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, min(50, 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': min(100, max((right - left for left, right in segments)))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f301([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### 302

```python
def f302(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(count):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f302([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 303

```python
def f303(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    visited = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves:
        dx, dy = step[direction]
        for turn in range(min(count, 3 + (count - count))):
            x = max(-64, min(64, x + dx))
            y += dy
            used += 1
            point = (x, y)
            if point in visited and list(point) not in returns:
                returns.append(list(point))
            visited.add(point)
            far = max(far, abs(x) + abs(y))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f303([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 304

```python
def f304(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]))
    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
```

```
f304([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 305

```python
def f305(left, right, excluded):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \r').upper()
    excluded = {str(value).upper() 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
```

```
f305(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['helium'])
```

```
{"all":["AMBER","BLUE","CYAN","EMBER","FROST","GARNET","IVORY"],"both":["EMBER","FROST","GARNET","IVORY"],"left":["BLUE"],"right":["AMBER","CYAN"],"score":21}
```

### 306

```python
def f306(left, right, ignored):
    left = list(left)

    def normalize(value):
        return str(value).strip().upper()
    ignored = {str(value).upper() 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
```

```
f306(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 307

```python
def f307(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    levels = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in levels and (not nxt.startswith('Z')):
                    levels[nxt] = levels[cur] + 1
                    work.append(nxt)
    listing = list(levels)
    lastlevel = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': listing, 'depth': levels, 'frontier': lastlevel[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f307([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 308

```python
def f308(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]))
    unmatched = 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': unmatched, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f308([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 309

```python
def f309(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
```

```
f309([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 10), ('BR', 9), ('CX', 6), ('DL', 15), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["DL",109],["EV",88],["CX",70],["AN",44],["BR",40]],"missing":[],"total":445}
```

### 310

```python
def f310(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
```

```
f310(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 311

```python
def f311(lines, stop):
    lines = list(lines)
    tallies = {}
    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' 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
        tallies[word] = tallies.get(word, 0) + 1
    ranking = 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 ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f311(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['amber'])
```

```
{"counts":{"blue":4,"cyan":8,"delta":2,"ember":7,"frost":3,"garnet":3,"helium":2},"initials":{"b":4,"c":8,"d":2,"e":7,"f":3,"g":3,"h":2},"size":138,"top":["cyan","ember","blue","frost","garnet"]}
```

### 312

```python
def f312(left, right, banned):
    left = list(left)

    def normalize(value):
        return str(value).strip(' \n').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
```

```
f312(['helium', 'frost', 'Ember', 'ivory', 'GARNET', 'BLUE', 'Ember'], ['frost', 'Ember', ' Amber', 'cyan ', 'GARNET', 'ivory', 'Ember'], ['Ember'])
```

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

### 313

```python
def f313(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[: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
```

```
f313(['Blue, cyan. helium blue', 'Cyan, ember. ember ember ember', 'Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'], ['frost'])
```

```
{"counts":{"amber":2,"blue":4,"cyan":8,"delta":2,"ember":7,"garnet":3,"helium":2},"initials":{"a":2,"b":4,"c":8,"d":2,"e":7,"g":3,"h":2},"size":133,"top":["cyan","ember","blue","garnet","amber"]}
```

### 314

```python
def f314(moves):
    moves = list(moves)
    step = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
    x = 0
    y = 0
    known = {(0, 0)}
    returns = []
    far = 0
    lowx = highx = lowy = highy = 0
    used = 0
    for direction, count in moves[:20]:
        dx, dy = step[direction]
        for turn in range(min(count, 64)):
            x += dx
            y += dy
            used += 1
            point = (x, y)
            if point in known and list(point) not in returns:
                returns.append(list(point))
            known.add(point)
            far = max(far, min(20, abs(x) + abs(y)))
            lowx, highx = (min(lowx, x), max(highx, x))
            lowy, highy = (min(lowy, y), max(highy, y))
    returnvalue = {'end': [x, y], 'far': far, 'revisits': returns[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f314([('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2), ('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2)])
```

```
{"bounds":[0,-10,10,0],"end":[10,-8],"far":20,"revisits":[[0,-4],[0,-3],[0,-2],[3,-3],[3,-2]],"steps":34}
```

### 315

```python
def f315(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 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
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f315([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['ready'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":9,"groups":{"core":352,"north":49,"south":290},"top":["DL25","BR40","CX51"],"total":691}
```

### 316

```python
def f316(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges:
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0} if limit > 0 or limit < 0 else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in (node for node in sorted(nextmap.get(cur, [])) if len(str(node)) == 1):
                if nxt not in distance and (not nxt.startswith('Z')):
                    distance[nxt] = distance[cur] + 1
                    work.append(nxt)
    sequence = list(distance)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f316([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'F')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":1,"G":3,"H":2},"frontier":["G"],"order":["A","B","C","F","D","E","H","G"]}
```

### 317

```python
def f317(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        children.setdefault(a, []).append(b)
    steps = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if steps[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in steps:
                    steps[nxt] = steps[cur] + 1
                    work.append(nxt)
    sequence = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': sequence, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f317([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')], 'A', 3)
```

```
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":2,"E":2,"F":2,"G":3,"H":3},"frontier":["G","H"],"order":["A","B","C","D","E","F","G","H"]}
```

### 318

```python
def f318(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        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]))
    leftover = 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': leftover, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
```

```
f318([('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12), ('FP', 2), ('GQ', 9), ('HR', 7)], [('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7), ('FP', 10), ('GQ', 3), ('HR', 5)], 4)
```

```
{"count":8,"items":[["EV",88],["DL",74],["CX",70],["AN",52],["BR",40]],"missing":[],"total":418}
```

### 319

```python
def f319(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * prices[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
```

```
f319([('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11), ('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)], ['checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
```

```
{"accepted":1,"groups":{"north":77},"top":["BR03"],"total":77}
```

### 320

```python
def f320(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] + min(gap, 2):
            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((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
```

```
f320([(3, 10), (6, 11), (15, 22), (19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67)], 2)
```

```
{"cover":50,"holes":[4,3,3,4],"longest":16,"segments":[[3,11],[15,26],[29,41],[44,47],[51,67]]}
```

### Final Query

Give me the output of the final query without executing it!

```python
import json, re
from collections import deque
out = {}
edges = list((('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E')) + (('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'E')))
start = 'A'
limit = 3
links = {}
for edge in edges:
    links.setdefault(edge[0], []).append(edge[1])
distance = {start: 0}
queue = deque([start])
while queue:
    node = queue.popleft()
    if distance[node] == limit:
        continue
    for child in sorted(links.get(node, [])):
        if child in distance:
            continue
        distance[child] = distance[node] + 1
        queue.append(child)
furthest = max(distance.values())
record = {'aa': list(distance), 'bb': distance, 'cc': sorted((node for node in distance if distance[node] == furthest)), 'dd': len(distance)}
signal = record['aa'][3]
left = list((('AN', 4), ('BR', 4), ('CX', 11), ('DL', 7), ('EV', 12)) + (('FP', 2), ('GQ', 9), ('HR', 7)))
right = list((('AN', 12), ('BR', 9), ('CX', 6), ('DL', 10), ('EV', 7)) + (('FP', 10), ('GQ', 3), ('HR', 5)))
fee = 4
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)}
token = record['bb']
route = signal
cases = {
    'F': list((('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2)) + (('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 5), ('S', 1), ('E', 1), ('N', 2))),
    'D': list((('S', 2), ('S', 3), ('N', 3), ('E', 3), ('S', 2), ('N', 2), ('S', 2)) + (('E', 3), ('E', 2), ('W', 1), ('S', 3), ('S', 2), ('S', 1), ('E', 3), ('N', 2))),
}
moves = cases[route]
delta = {'N': (0, 1), 'E': (1, 0), 'S': (0, -1), 'W': (-1, 0)}
points = [[0, 0]]
for direction, count in moves:
    dx, dy = delta[direction]
    for turn in range(count):
        points.append([points[-1][0] + dx, points[-1][1] + dy])
seen = set()
revisits = []
for point in points:
    key = tuple(point)
    if key in seen and point not in revisits:
        revisits.append(point)
    seen.add(key)
record = {'aa': points[-1], 'bb': max((abs(point[0]) + abs(point[1]) for point in points)), 'cc': revisits[:5], 'dd': [min((point[0] for point in points)), min((point[1] for point in points)), max((point[0] for point in points)), max((point[1] for point in points))], 'ee': len(points) - 1}
memo = record['bb']
gap = 2
route = token
cases = {
    418: list(((4, 11), (6, 11), (15, 22)) + ((19, 26), (29, 33), (34, 41), (44, 47), (49, 56), (60, 67))),
    445: list(((3, 10), (6, 11), (15, 22)) + ((19, 26), (29, 33), (34, 41), (44, 47), (51, 58), (60, 67))),
}
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))}
clue = record['cc']
route = (signal, token)
cases = {
    ('F', 445): list(('##....', '..##..', '.#.#.#', '#####.') + ('#..#.#', '......')),
    ('F', 418): list(('##....', '..##..', '.#.#.#', '#####.') + ('#..#.#', '......')),
    ('D', 445): list(('##....', '..##..', '.#.#.#', '#####.') + ('#..#.#', '......')),
    ('D', 418): 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)}
stamp = record['cc']
rows = list((('DL81', 'edge', 'hold', 18), ('CX18', 'north', 'ready', 7), ('DL55', 'north', 'void', 13), ('DL92', 'south', 'ready', 8), ('BR29', 'core', 'ready', 4), ('AN66', 'core', 'void', 5), ('BR03', 'north', 'checked', 11)) + (('BR40', 'south', 'ready', 18), ('AN77', 'core', 'ready', 4), ('CX14', 'edge', 'hold', 14), ('CX51', 'south', 'ready', 14), ('BR88', 'south', 'ready', 8), ('DL25', 'core', 'ready', 24), ('AN62', 'south', 'ready', 10)))
rates = dict((('north', 7), ('south', 5)) + (('core', 11), ('edge', 3)))
route = (memo, stamp)
cases = {
    (20, 17): ['checked'],
    (20, 15): ['ready'],
    (21, 17): ['ready'],
    (21, 15): ['ready'],
}
keep = 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}
ticket = record['bb']
lines = list(('Blue, cyan. helium blue', 'Cyan, ember. ember ember ember') + ('Frost, amber. cyan delta', 'Ember, delta. blue cyan cyan', 'Ember, cyan. amber ember', 'Blue, helium. garnet frost garnet', 'Cyan, frost. cyan garnet'))
route = (clue, ticket)
cases = {
    (50, 691): ['amber'],
    (50, 77): ['amber'],
    (49, 691): ['amber'],
    (49, 77): ['frost'],
}
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))}
badge = record['dd']
left = list(('helium', 'frost', 'Ember', 'ivory') + ('GARNET', 'BLUE', 'Ember'))
right = list(('frost', 'Ember', ' Amber', 'cyan ') + ('GARNET', 'ivory', 'Ember'))
route = badge
cases = {
    133: ['Ember'],
    138: ['helium'],
}
blocked = 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))}
out['aa'] = record['aa']
out['bb'] = record['bb']
out['cc'] = record['cc']
out['dd'] = record['dd']
out['ee'] = record['ee']
print(json.dumps(out, separators=(",", ":"), sort_keys=True))
```