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Publish LongHarness benchmark snapshot (part 2)
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001

def f1(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
    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
f1(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

002

def f2(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[:20]:
        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 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
f2([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

003

def f3(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(min(64, len(values) - size + 1)):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value >= limit]
    ups = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': min(256, max(series)), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f3([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

004

def f4(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 = 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 = (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
f4([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

005

def f5(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
f5([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

006

def f6(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes) and len(finished) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f6(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

007

def f7(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    sequence = []
    groups = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f7(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

008

def f8(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, 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
f8([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

009

def f9(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        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 {}
    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)
    lastlevel = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': lastlevel[:3], 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
f9([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

010

def f10(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}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.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
f10([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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

def f11(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 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
f11([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

012

def f12(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f12([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

013

def f13(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)
    steps = {start: 0}
    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
f13([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

014

def f14(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}
    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)
    listing = list(steps)
    furthest = sorted((node for node in steps if steps[node] == max(steps.values())))
    returnvalue = {'order': listing, 'depth': steps, 'frontier': furthest, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
f14([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

015

def f15(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}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(children.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.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
f15([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

016

def f16(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)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            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
                    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
f16([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

017

def f17(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 str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * factors[group]
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f17([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

018

def f18(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    complete = set()
    sequence = []
    groups = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        groups.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f18(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

019

def f19(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        nextmap.setdefault(a, []).append(b)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < min(limit, 3):
            for nxt in sorted(nextmap.get(cur, [])):
                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
f19([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

020

def f20(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    handled = set()
    sequence = []
    groups = []
    while len(handled) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        groups.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f20(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

021

def f21(edges, start, limit):
    edges = list(edges)
    routes = {}
    for a, b in edges:
        routes.setdefault(a, []).append(b)
    steps = {start: 0}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(routes.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
f21([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

022

def f22(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
    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
f22([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

023

def f23(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}
    queue = [start]
    while queue:
        cur = queue.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 and (not nxt.startswith('Z')):
                    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
f23([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

024

def f24(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f24([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

025

def f25(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(count % 100):
            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 = 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
f25([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

026

def f26(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f26([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

027

def f27(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f27(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

028

def f28(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    result = []
    groups = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        groups.append(current)
        for node in current:
            handled.add(node)
            result.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f28(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

029

def f29(rows, keep, factors):
    rows = list(rows)
    matches = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * abs(factors[group])
            matches.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            amount += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': totals, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f29([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

030

def f30(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 or len(word) < 2:
            continue
        frequency[word] = min(9, frequency.get(word, 0) + 1)
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f30(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

031

def f31(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[:20]:
        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 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
f31([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

032

def f32(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
f32([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

033

def f33(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}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < min(limit, 3):
            for nxt in (node for node in sorted(children.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, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
f33([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

034

def f34(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 = 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 = (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
f34([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

035

def f35(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] < limit:
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.append(nxt)
    listing = list(distance)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': listing, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    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', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

036

def f36(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    series = []
    for pos in range(min(64, len(values) - size + 1)):
        series.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(series) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(series))) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f36([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

037

def f37(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        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 {}
    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)
    result = list(levels)
    lastlevel = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': result, 'depth': levels, 'frontier': lastlevel, 'count': len(levels)}
    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', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

038

def f38(rows, keep, ratemap):
    rows = list(rows)
    matches = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * ratemap[group]
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': groupmap, 'top': list(dict.fromkeys((code for code, cost in matches)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f38([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

039

def f39(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    complete = set()
    result = []
    rounds = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        rounds.append(current)
        for node in current:
            complete.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f39(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

040

def f40(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        nextmap.setdefault(a, []).append(b)
    steps = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(nextmap.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
f40([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

041

def f41(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]))
    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
f41([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

042

def f42(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} if any((start in edge for edge in edges)) else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(nextmap.get(cur, []))[:20]:
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.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
f42([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

043

def f43(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] = 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
f43(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

044

def f44(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges[:16]:
        children.setdefault(a, []).append(b)
    steps = {start: 0}
    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 and (not nxt.startswith('Z')):
                    steps[nxt] = steps[cur] + 1
                    pending.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
f44([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

045

def f45(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]))
    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
f45([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

046

def f46(rows, keep, prices):
    rows = list(rows)
    selected = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * abs(prices[group])
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': buckets, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f46([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

047

def f47(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f47([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

048

def f48(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges:
        nextmap.setdefault(a, []).append(b)
    steps = {start: 0} if limit > 0 or limit < 0 else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if steps[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in steps and (not nxt.startswith('Z')):
                    steps[nxt] = steps[cur] + 1
                    work.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
f48([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

049

def f49(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
f49([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

050

def f50(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    handled = set()
    listing = []
    layers = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f50(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

051

def f51(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * ratemap[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': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f51([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

052

def f52(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right[:20]:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left:
        if key in factors 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
f52([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

053

def f53(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
f53([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

054

def f54(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    indexes = [pos for pos, value in enumerate(totals[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': indexes, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f54([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

055

def f55(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value > limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f55([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

056

def f56(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 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
f56([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

057

def f57(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(set(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)
    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
f57([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

058

def f58(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f58([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

059

def f59(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * ratemap[group]
            selected.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            sumvalue += charge
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': totals, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f59([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

060

def f60(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
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f60(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

061

def f61(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        nextmap[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    handled = set()
    result = []
    rounds = []
    while len(handled) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            handled.add(node)
            result.append(node)
        for node in current:
            for nxt in nextmap[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f61(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

062

def f62(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 = max(-64, min(64, 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
f62([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

063

def f63(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]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
f63([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

064

def f64(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 = max(-64, min(64, 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 = (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
f64([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

065

def f65(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            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
f65(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

066

def f66(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
f66(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

067

def f67(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}
    pending = [start]
    while pending:
        cur = pending.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    pending.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
f67([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

068

def f68(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    handled = set()
    sequence = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in handled))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f68(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

069

def f69(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[: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 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
f69([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

070

def f70(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:
        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
f70(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

071

def f71(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] < 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, 'count': len(steps)}
    output = dict()
    output.update(returnvalue)
    return output
f71([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

072

def f72(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f72(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

073

def f73(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {word.lower() 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
    sorteditems = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in sorteditems[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f73(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

074

def f74(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(min(64, len(values) - size + 1)):
        series.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(series[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max([0] + series), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f74([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

075

def f75(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    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
f75([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

076

def f76(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f76([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

077

def f77(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    terms = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        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
f77(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

078

def f78(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:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) < 2:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    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': min(256, sum((len(word) * count for word, count in wordmap.items())))}
    output = dict()
    output.update(returnvalue)
    return output
f78(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

079

def f79(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + max(0, gap) + 1:
            segments.append([left, right])
        else:
            segments[-1][1] = max(0, segments[-1][1], right)
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
f79([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

080

def f80(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(series) if value >= limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f80([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

081

def f81(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap % 5 + 1:
            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
f81([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

082

def f82(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value > limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f82([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

083

def f83(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f83(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

084

def f84(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(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
f84([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

085

def f85(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    sequence = []
    rounds = []
    while len(complete) < len(nodes) and len(complete) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f85(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

086

def f86(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 = 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 = (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
f86([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

087

def f87(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 = 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
f87([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

088

def f88(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:
            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
f88([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

089

def f89(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(windows) if value > limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f89([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

090

def f90(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep} and value >= 0:
            cost = value * ratemap[group]
            selected.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': sumvalue, 'groups': buckets, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f90([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

091

def f91(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f91(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

092

def f92(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(series) if value >= limit]
    ups = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': min(256, max(series)), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f92([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

093

def f93(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * abs(prices[group])
            kept.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': amount, 'groups': totals, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f93([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

094

def f94(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
f94([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

095

def f95(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)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            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)
    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
f95([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

096

def f96(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(totals) if value >= limit and (limit >= 0 or pos > 0)]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f96([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

097

def f97(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
    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
f97(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

098

def f98(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 % 5 + 1:
            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
f98([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

099

def f99(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not result or left > result[-1][1] + max(0, gap):
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    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
f99([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

100

def f100(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        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]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f100([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

101

def f101(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 and count > 0:
            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
f101([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

102

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[: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, 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
f102([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

103

def f103(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:
            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
f103([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

104

def f104(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    handled = set()
    sequence = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f104(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

105

def f105(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    handled = set()
    sequence = []
    groups = []
    while len(handled) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f105(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

106

def f106(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(series[:64]) if value > limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f106([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

107

def f107(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] = 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
f107([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

108

def f108(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} if limit > 0 or limit < 0 else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(nextmap.get(cur, [])):
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    work.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
f108([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

109

def f109(rows, keep, factors):
    rows = list(rows)
    matches = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * abs(factors[group])
            matches.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            amount += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': totals, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f109([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

110

def f110(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    finished = set()
    listing = []
    groups = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f110(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

111

def f111(rows, keep, ratemap):
    rows = list(rows)
    matches = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * ratemap[group]
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            grand += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': grand, 'groups': totals, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f111([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

112

def f112(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]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f112([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

113

def f113(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(series) if value >= limit]
    increases = sum((1 for pos in range(1, min(65, len(series))) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': min(256, max(series)), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f113([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

114

def f114(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f114([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

115

def f115(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    complete = set()
    result = []
    groups = []
    while len(complete) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            complete.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f115(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

116

def f116(rows, keep, factors):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 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
            amount += cost
    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, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f116([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

117

def f117(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[:64]:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in tallies.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f117(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

118

def f118(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 += 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
f118([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

119

def f119(rows, keep, prices):
    rows = list(rows)
    matches = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if str(state).lower() in {str(item).lower() for item in keep}:
            cost = value * prices[group]
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': groupmap, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f119([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

120

def f120(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]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f120(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

121

def f121(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    finished = set()
    listing = []
    groups = []
    while len(finished) < len(nodes) and len(finished) < 20:
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f121(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

122

def f122(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[: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]))
    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 sorteditems[:5]], 'initials': heads, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f122(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

123

def f123(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    ups = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f123([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

124

def f124(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap + 1:
            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
f124([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

125

def f125(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)
    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
f125([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

126

def f126(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 {}
    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
f126([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

127

def f127(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(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 = (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
f127([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

128

def f128(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges[:16]:
        nextmap.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(nextmap.get(cur, []))[:20]:
                if nxt not in levels and (not nxt.startswith('Z')):
                    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
f128([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

129

def f129(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    handled = set()
    result = []
    layers = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f129(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

130

def f130(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    combined = []
    for key, count in left:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f130([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

131

def f131(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z' or (char == "'" and word):
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop or len(word) < 2:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    sorteditems = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in sorteditems[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f131(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

132

def f132(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted((pair for pair in spans if pair[0] <= pair[1])):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    gaps = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        gaps.append(min(100, left - result[pos - 1][1]))
    returnvalue = {'segments': result, 'cover': sum((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
f132([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

133

def f133(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    amount = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep:
            cost = value * abs(prices[group])
            matches.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': buckets, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f133([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

134

def f134(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
    spaces = []
    for pos in range(1, min(50, len(result))):
        left = result[pos][0]
        spaces.append(min(100, 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
f134([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

135

def f135(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    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
f135([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

136

def f136(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} if limit > 0 or limit < 0 else {}
    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)
    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
f136([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

137

def f137(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 = 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 = 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
f137([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

138

def f138(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    ordered = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    starts = {}
    for word, count in frequency.items():
        starts[word[0]] = starts.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ordered[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f138(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

139

def f139(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * ratemap[group]
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': buckets, 'top': list(dict.fromkeys((code for code, score in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f139([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

140

def f140(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[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    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
f140(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

141

def f141(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}:
            cost = value * abs(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
f141([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

142

def f142(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans):
        if not result or left > result[-1][1] + gap:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(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
f142([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

143

def f143(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 {}
    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)
    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
f143([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

144

def f144(rows, keep, factors):
    rows = list(rows)
    selected = []
    totals = {}
    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]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(selected), 'total': grand, 'groups': totals, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f144([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

145

def f145(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)
    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
f145([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

146

def f146(rows, keep, prices):
    rows = list(rows)
    kept = []
    buckets = {}
    amount = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep:
            charge = value * abs(prices[group])
            kept.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            amount += charge
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': buckets, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f146([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

147

def f147(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    ups = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f147([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

148

def f148(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        wordmap[word] = min(9, 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
f148(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

149

def f149(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors and rate0 != 0:
            factors[name0] = rate0
    items = []
    for key, count in left:
        if key in factors:
            items.append((key, count * factors[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted({key for key, count in left if key not in factors})
    returnvalue = {'items': [[key, value] for key, value in items[:5]], 'total': sum((value for key, value in items)), 'missing': absent, 'count': len(items)}
    output = dict()
    output.update(returnvalue)
    return output
f149([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

150

def f150(rows, keep, prices):
    rows = list(rows)
    selected = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            score = value * prices[group]
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': buckets, 'top': list(dict.fromkeys((code for code, score in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f150([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

151

def f151(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 += 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 = (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
f151([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

152

def f152(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] = 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': min(100, max((right - left for left, right in segments)))}
    output = dict()
    output.update(returnvalue)
    return output
f152([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

153

def f153(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f153(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

154

def f154(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
f154([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

155

def f155(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)
    distance = {start: 0} if any((start in edge for edge in edges)) else {}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < min(limit, 3):
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.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
f155([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

156

def f156(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(totals) if value >= limit]
    ups = sum((1 for pos in range(1, len(totals)) if totals[pos] >= totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f156([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

157

def f157(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[:64]:
        if word in stop:
            continue
        wordmap[word] = min(9, 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
f157(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

158

def f158(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]))
    absent = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f158([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

159

def f159(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(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 repeats:
                repeats.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': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
f159([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

160

def f160(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} 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)
    listing = list(distance)
    lastlevel = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': listing, 'depth': distance, 'frontier': lastlevel, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
f160([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

161

def f161(rows, keep, prices):
    rows = list(rows)
    selected = []
    groupmap = {}
    amount = 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
            amount += charge
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': groupmap, 'top': [code for code, charge in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f161([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

162

def f162(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':
                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
    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
f162(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

163

def f163(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 = max(-64, min(64, 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 = (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
f163([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

164

def f164(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(min(64, len(values) - size + 1)):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value > limit]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f164([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

165

def f165(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    items = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            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
    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
f165(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

166

def f166(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items:
        if word in stop:
            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
f166(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

167

def f167(rows, keep, prices):
    rows = list(rows)
    kept = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * prices[group]
            kept.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': buckets, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f167([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

168

def f168(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    spaces = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        spaces.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': spaces, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
f168([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

169

def f169(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 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)
    sequence = list(distance)
    furthest = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': sequence, 'depth': distance, 'frontier': furthest[:3], 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
f169([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

170

def f170(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(totals[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f170([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

171

def f171(rows, keep, factors):
    rows = list(rows)
    matches = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * factors[group]
            matches.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            grand += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': grand, 'groups': totals, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f171([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

172

def f172(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * ratemap[group]
            selected.append((code, cost))
            buckets[group] = buckets.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': buckets, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f172([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

173

def f173(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    result = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            result.append(node)
        for node in current:
            for nxt in routes[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f173(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

174

def f174(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 % 100):
            x = max(-64, min(64, x + dx))
            y += dy
            used += 1
            point = (x, y)
            if point in known and list(point) not in repeats:
                repeats.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': repeats[:5], 'bounds': [lowx, lowy, highx, highy], 'steps': used}
    output = dict()
    output.update(returnvalue)
    return output
f174([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

175

def f175(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = max(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
f175([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

176

def f176(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] = 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
f176(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

177

def f177(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': min(256, max(windows)), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f177([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

178

def f178(rows, keep, prices):
    rows = list(rows)
    matches = []
    totals = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            charge = value * abs(prices[group])
            matches.append((code, charge))
            totals[group] = totals.get(group, 0) + charge
            grand += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': grand, 'groups': totals, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f178([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

179

def f179(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' or (char == "'" and word):
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop or len(word) > 12:
            continue
        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
f179(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

180

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:
        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 visited and list(point) not in repeats:
                repeats.append(list(point))
            visited.add(point)
            far = max(far, min(20, 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
f180([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

181

def f181(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
f181([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

182

def f182(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[: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
    ranking = sorted(frequency.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in frequency.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': frequency, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in frequency.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f182(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

183

def f183(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges[:16]:
        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] < 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[:3], 'count': len(levels)}
    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'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

184

def f184(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices or rate0 <= rate0 + 0:
            prices[name0] = rate0
    items = []
    for key, count in left[:20]:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    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
f184([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

185

def f185(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 = (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
f185([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

186

def f186(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = right
    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
f186([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

187

def f187(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' 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 or len(word) < 2:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in tallies.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': tallies, 'top': [word for word, count in ordered[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f187(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

188

def f188(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 + 1:
            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
f188([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

189

def f189(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, 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
f189([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

190

def f190(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in finished))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in nextmap[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f190(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

191

def f191(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 + 1:
            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
f191([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

192

def f192(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:
            cost = value * abs(factors[group])
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f192([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

193

def f193(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[:64]:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms[:64]:
        if word in stop:
            continue
        wordmap[word] = wordmap.get(word, 0) + 1
    ranking = sorted(wordmap.items(), key=lambda item: (-item[1], item[0]))
    letters = {}
    for word, count in wordmap.items():
        letters[word[0]] = letters.get(word[0], 0) + count
    returnvalue = {'counts': wordmap, 'top': [word for word, count in ranking[:5]], 'initials': letters, 'size': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f193(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

194

def f194(lines, stop):
    lines = list(lines)
    wordmap = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text[: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
        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
f194(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

195

def f195(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    initial = dict(indegree)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in finished))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f195(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

196

def f196(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:
        if key in prices:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f196([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

197

def f197(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    handled = set()
    sequence = []
    layers = []
    while len(handled) < len(nodes) and len(handled) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f197(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

198

def f198(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    buckets = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            score = value * abs(ratemap[group])
            selected.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            grand += score
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': grand, 'groups': buckets, 'top': [code for code, score in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f198([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

199

def f199(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(series) if value > limit]
    growth = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max([0] + series), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f199([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

200

def f200(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 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
            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
f200([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

201

def f201(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[: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
f201([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

202

def f202(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[: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
f202([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

203

def f203(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value > limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f203([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

204

def f204(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            score = value * prices[group]
            matches.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            sumvalue += score
    matches.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(matches), 'total': sumvalue, 'groups': buckets, 'top': [code for code, score in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f204([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

205

def f205(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]))
    leftover = sorted({key for key, count in left if key not in prices})
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': leftover, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f205([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

206

def f206(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(combined[-1][1], right)
    spaces = []
    for pos in range(1, min(50, len(combined))):
        left = combined[pos][0]
        spaces.append(min(100, 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
f206([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

207

def f207(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)
    breaks = []
    for pos in range(1, min(50, 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
f207([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

208

def f208(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)
    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
f208([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

209

def f209(rows, keep, prices):
    rows = list(rows)
    matches = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            score = value * prices[group]
            matches.append((code, score))
            buckets[group] = buckets.get(group, 0) + score
            amount += score
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': buckets, 'top': [code for code, score in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f209([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

210

def f210(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    items = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                items.append(word)
                word = ''
        if word:
            items.append(word)
    for word in items[:64]:
        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]))
    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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
f210(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

211

def f211(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        tallies[word] = min(9, tallies.get(word, 0) + 1)
    ordered = sorted(tallies.items(), key=lambda item: (-item[1], item[0]))
    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
f211(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

212

def f212(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(min(count, 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 = (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
f212([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

213

def f213(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    result = []
    rounds = []
    while len(finished) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        rounds.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f213(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

214

def f214(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(totals) if value >= limit and (limit >= 0 or pos > 0)]
    ups = sum((1 for pos in range(1, min(65, len(totals))) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': indexes, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f214([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

215

def f215(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right[:20]:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in prices and count > 0:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    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', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

216

def f216(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    matched = []
    for key, count in left:
        if key in ratemap:
            matched.append((key, count * ratemap[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    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({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f216([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

217

def f217(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans, key=lambda pair: (pair[1], pair[0])):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            result[-1][1] = 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
f217([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

218

def f218(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 % 100):
            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
f218([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

219

def f219(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    sequence = []
    rounds = []
    while len(complete) < len(nodes):
        available = sorted((node for node in nodes if needs[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        rounds.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f219(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

220

def f220(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if str(state).lower() in {str(item).lower() for item in keep}:
            charge = value * ratemap[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': list(dict.fromkeys((code for code, charge in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f220([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

221

def f221(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right[:20]:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    combined = []
    for key, count in left:
        if key in ratemap:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    unmatched = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': unmatched, 'count': len({key for key, value in combined})}
    output = dict()
    output.update(returnvalue)
    return output
f221([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

222

def f222(rows, keep, factors):
    rows = list(rows)
    selected = []
    groupmap = {}
    grand = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * factors[group]
            selected.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            grand += cost
    selected.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': grand, 'groups': groupmap, 'top': [code for code, cost in selected[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f222([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

223

def f223(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    finished = set()
    result = []
    layers = []
    while len(finished) < len(nodes) and len(finished) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f223(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

224

def f224(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted((pair for pair in spans if pair[0] < pair[1] or pair[0] != pair[1])):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = right
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
f224([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

225

def f225(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(set(spans)):
        if not combined or left > combined[-1][1] + gap + 1:
            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
f225([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

226

def f226(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({key for key, value in items})}
    output = dict()
    output.update(returnvalue)
    return output
f226([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

227

def f227(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    sequence = []
    rounds = []
    while len(complete) < len(nodes) and len(complete) < 20:
        available = sorted((node for node in nodes if needs[node] == 0 and node not in complete))
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f227(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

228

def f228(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    rootsource = dict(incoming)
    finished = set()
    sequence = []
    layers = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available
        layers.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f228(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

229

def f229(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 += 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
f229([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

230

def f230(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + gap:
            combined.append([left, right])
        else:
            combined[-1][1] = max(0, combined[-1][1], right)
    gaps = []
    for pos in range(1, min(50, len(combined))):
        left = combined[pos][0]
        gaps.append(min(100, left - combined[pos - 1][1]))
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
f230([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

231

def f231(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 or len(word) > 12:
            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
f231(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

232

def f232(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges[:16]:
        children.setdefault(a, []).append(b)
    distance = {start: 0}
    work = [start]
    while work:
        cur = work.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(children.get(cur, []))[:20]:
                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[:3], 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
f232([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

233

def f233(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in (edge for edge in edges if len(edge[1]) < 2):
        nextmap.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(nextmap.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
f233([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

234

def f234(left, right, fee):
    left = list(left)
    factors = {}
    for name0, rate0 in right:
        if name0 not in factors:
            factors[name0] = rate0
    matched = []
    for key, count in left[:20]:
        if key in factors:
            matched.append((key, count * factors[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in factors))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f234([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

235

def f235(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(spans):
        if not segments or left > segments[-1][1] + max(0, gap) + 1:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    spaces = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        spaces.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': spaces, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
f235([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

236

def f236(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:
            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
f236([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

237

def f237(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(totals[:64]) if value >= limit]
    increases = sum((1 for pos in range(1, min(65, len(totals))) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f237([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

238

def f238(left, right, fee):
    left = list(left)
    ratemap = {}
    for name0, rate0 in right:
        if name0 not in ratemap:
            ratemap[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in ratemap:
            combined.append((key, count * ratemap[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in ratemap))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f238([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

239

def f239(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    rootsource = dict(indegree)
    finished = set()
    sequence = []
    rounds = []
    while len(finished) < len(nodes):
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in finished), reverse=any((str(node).isupper() for node in nodes)))
        if not available:
            break
        current = available[:1] if any((str(node).isupper() for node in nodes)) else available
        rounds.append(current)
        for node in current:
            finished.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': rounds, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f239(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

240

def f240(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
    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
f240(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

241

def f241(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': indexes, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f241([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

242

def f242(spans, gap):
    spans = list(spans)
    combined = []
    for left, right in sorted(spans):
        if not combined or left > combined[-1][1] + min(gap, 2):
            combined.append([left, right])
        else:
            combined[-1][1] = right
    gaps = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        gaps.append(min(100, left - combined[pos - 1][1]))
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': gaps, 'longest': max((right - left for left, right in combined))}
    output = dict()
    output.update(returnvalue)
    return output
f242([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

243

def f243(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[:20]:
        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 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
f243([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

244

def f244(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
f244([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

245

def f245(values, width, limit):
    values = list(values)
    size = width if width > 1 or width < 1 else 2
    series = []
    for pos in range(min(64, len(values) - size + 1)):
        series.append(sum((max(item, 0) for item in values[pos:pos + size])))
    positions = [pos for pos, value in enumerate(series) if value >= limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f245([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

246

def f246(rows, keep, factors):
    rows = list(rows)
    kept = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value >= 0:
            cost = value * abs(factors[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(dict.fromkeys(kept)), 'total': sumvalue, 'groups': totals, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f246([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

247

def f247(rows, keep, prices):
    rows = list(rows)
    matches = []
    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:
            charge = value * prices[group]
            matches.append((code, charge))
            groupmap[group] = groupmap.get(group, 0) + charge
            amount += charge
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': amount, 'groups': groupmap, 'top': [code for code, charge in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f247([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

248

def f248(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(((max(0, a), max(0, b)) for a, b in spans)):
        if not segments or left > segments[-1][1] + gap:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    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
f248([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

249

def f249(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 += dy
            used = min(64, 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
f249([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

250

def f250(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(series) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(series))) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f250([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

251

def f251(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] + max(0, gap):
            combined.append([left, right])
        else:
            combined[-1][1] = max(combined[-1][1], right)
    spaces = []
    for pos in range(1, len(combined)):
        left = combined[pos][0]
        spaces.append(left - combined[pos - 1][1])
    returnvalue = {'segments': combined, 'cover': sum((right - left for left, right in combined)), 'holes': spaces, 'longest': min(100, max((right - left for left, right in combined)))}
    output = dict()
    output.update(returnvalue)
    return output
f251([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

252

def f252(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] + 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((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
f252([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

253

def f253(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(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
f253([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

254

def f254(lines, stop):
    lines = list(lines)
    tallies = {}
    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[:64]:
        if word in stop:
            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
f254(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

255

def f255(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, 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
f255([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

256

def f256(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(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f256([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

257

def f257(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    startdegree = dict(incoming)
    complete = set()
    listing = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f257(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

258

def f258(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f258([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

259

def f259(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] >= windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f259([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

260

def f260(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges:
        nextmap.setdefault(a, []).append(b)
    levels = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if levels[cur] < limit:
            for nxt in sorted(nextmap.get(cur, []))[:20]:
                if nxt not in levels:
                    levels[nxt] = levels[cur] + 1
                    queue.append(nxt)
    listing = list(levels)
    edge = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': listing, 'depth': levels, 'frontier': edge[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
f260([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

261

def f261(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 += 1
            point = (x, y)
            if point in known and list(point) not in crossings:
                crossings.append(list(point))
            known.add(point)
            far = max(far, min(20, 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
f261([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

262

def f262(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 += 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
f262([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

263

def f263(nodes, edges):
    nodes = list(nodes)
    needs = {node: 0 for node in nodes}
    nextmap = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        nextmap[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    finished = set()
    result = []
    groups = []
    while len(finished) < len(nodes) and len(finished) < 20:
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in finished), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            finished.add(node)
            result.append(node)
        for node in current:
            for nxt in nextmap[node]:
                needs[nxt] -= 1
    returnvalue = {'order': result, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f263(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

264

def f264(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 += 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
f264([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

265

def f265(rows, keep, prices):
    rows = list(rows)
    kept = []
    buckets = {}
    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]
            kept.append((code, charge))
            buckets[group] = buckets.get(group, 0) + charge
            grand += charge
    kept.sort(key=lambda item: (-item[1], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(kept)), 'total': grand, 'groups': buckets, 'top': [code for code, charge in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f265([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

266

def f266(rows, keep, prices):
    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}:
            charge = value * prices[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
f266([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

267

def f267(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    items = []
    for key, count in left:
        if key in prices:
            items.append((key, count * prices[key] + fee))
    items.sort(key=lambda item: (-item[1], item[0]))
    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
f267([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

268

def f268(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens[:64]:
        if word in stop:
            continue
        tallies[word] = tallies.get(word, 0) + 1
    ranking = 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 ranking[:5]], 'initials': starts, 'size': sum((len(word) * count for word, count in tallies.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f268(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

269

def f269(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.setdefault(a, []).append(b)
    steps = {start: 0}
    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)
    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
f269([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

270

def f270(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {word.lower() for word in stop}
    terms = []
    for line in lines:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                terms.append(word)
                word = ''
        if word:
            terms.append(word)
    for word in terms:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    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
f270(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

271

def f271(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)
    distance = {start: 0}
    queue = [start]
    while queue:
        cur = queue.pop(0)
        if distance[cur] < limit:
            for nxt in sorted(routes.get(cur, []))[:20]:
                if nxt not in distance and (not nxt.startswith('Z')):
                    distance[nxt] = distance[cur] + 1
                    queue.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
f271([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

272

def f272(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        routes[a].append(b)
        needs[b] += 1
    initial = dict(needs)
    complete = set()
    sequence = []
    layers = []
    while len(complete) < len(nodes) and len(complete) < 20:
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in complete))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        layers.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f272(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

273

def f273(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
f273([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

274

def f274(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 = (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
f274([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

275

def f275(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 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
f275([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

276

def f276(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 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
f276([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 8), ('BR', 12), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",99],["HR",57],["AN",51],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":258}

277

def f277(edges, start, limit):
    edges = list(edges)
    nextmap = {}
    for a, b in edges[:16]:
        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)
    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
f277([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

278

def f278(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        indegree[b] += 1
    rootsource = dict(indegree)
    handled = set()
    sequence = []
    groups = []
    while len(handled) < len(nodes) and len(handled) < 20:
        nextbatch = sorted((node for node in nodes if indegree[node] == 0 and node not in handled))
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if rootsource[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f278(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

279

def f279(rows, keep, prices):
    rows = list(rows)
    matches = []
    groupmap = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            cost = value * prices[group]
            matches.append((code, cost))
            groupmap[group] = groupmap.get(group, 0) + cost
            amount += cost
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(matches), 'total': amount, 'groups': groupmap, 'top': [code for code, cost in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f279([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

280

def f280(rows, keep, ratemap):
    rows = list(rows)
    selected = []
    buckets = {}
    amount = 0
    for code, group, state, value in rows:
        if state 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], str(item[0]).casefold()))
    returnvalue = {'accepted': len(dict.fromkeys(selected)), 'total': amount, 'groups': buckets, 'top': list(dict.fromkeys((code for code, charge in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f280([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

281

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[: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
        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
f281(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['cyan', 'delta'])
{"counts":{"amber":6,"blue":1,"ember":3,"frost":6,"garnet":2,"helium":3},"initials":{"a":6,"b":1,"e":3,"f":6,"g":2,"h":3},"size":109,"top":["amber","frost","ember","helium","garnet"]}

282

def f282(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    sequence = []
    groups = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled))
        if not nextbatch:
            break
        current = nextbatch[:1] if any((str(node).isupper() for node in nodes)) else nextbatch
        groups.append(current)
        for node in current:
            handled.add(node)
            sequence.append(node)
        for node in current:
            for nxt in routes[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f282(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

283

def f283(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 = 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
f283([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

284

def f284(nodes, edges):
    nodes = list(nodes)
    indegree = {node: 0 for node in nodes}
    routes = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        routes[a].append(b)
        indegree[b] += 1
    startdegree = dict(indegree)
    finished = set()
    listing = []
    groups = []
    while len(finished) < len(nodes) and len(finished) < 20:
        available = sorted((node for node in nodes if indegree[node] == 0 and node not in finished))
        if not available:
            break
        current = available
        groups.append(current)
        for node in current:
            finished.add(node)
            listing.append(node)
        for node in current:
            for nxt in routes[node]:
                indegree[nxt] -= 1
    returnvalue = {'order': listing, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f284(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

285

def f285(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(min(64, len(values) - size + 1)):
        windows.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(windows[:64]) if value >= limit]
    growth = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f285([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

286

def f286(nodes, edges):
    nodes = list(nodes)
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    listing = []
    layers = []
    while len(handled) < len(nodes):
        nextbatch = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        layers.append(current)
        for node in current:
            handled.add(node)
            listing.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': listing, 'batches': layers, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(listing)}
    output = dict()
    output.update(returnvalue)
    return output
f286(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

287

def f287(rows, keep, ratemap):
    rows = list(rows)
    matches = []
    totals = {}
    sumvalue = 0
    for code, group, state, value in (row for pos, row in enumerate(rows) if pos == rows.index(row) or pos < len(rows) - (len(rows) - rows.index(row))):
        if state in keep and value != 0:
            score = value * ratemap[group]
            matches.append((code, score))
            totals[group] = totals.get(group, 0) + score
            sumvalue += score
    matches.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(dict.fromkeys(matches)), 'total': sumvalue, 'groups': totals, 'top': [code for code, score in matches[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f287([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

288

def f288(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(windows[:64]) if value >= limit and (limit >= 0 or pos > 0)]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max(windows), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f288([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

289

def f289(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals) if value >= limit]
    increases = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max([0] + totals), 'hits': matches, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f289([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

290

def f290(rows, keep, prices):
    rows = list(rows)
    kept = []
    buckets = {}
    sumvalue = 0
    for code, group, state, value in rows:
        if state in keep and value != 0:
            cost = value * prices[group]
            kept.append((code, cost))
            buckets[group] = buckets.get(group, 0) + cost
            sumvalue += cost
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': sumvalue, 'groups': buckets, 'top': list(dict.fromkeys((code for code, cost in kept)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f290([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

291

def f291(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum(values[pos:pos + size]))
    indexes = [pos for pos, value in enumerate(windows[:64]) if value > limit]
    increases = sum((1 for pos in range(1, len(windows)) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': indexes, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f291([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

292

def f292(spans, gap):
    spans = list(spans)
    segments = []
    for left, right in sorted(set(spans)):
        if not segments or left > segments[-1][1] + gap % 5:
            segments.append([left, right])
        else:
            segments[-1][1] = max(segments[-1][1], right)
    gaps = []
    for pos in range(1, len(segments)):
        left = segments[pos][0]
        gaps.append(left - segments[pos - 1][1])
    returnvalue = {'segments': segments, 'cover': sum((right - left for left, right in segments)), 'holes': gaps, 'longest': max((right - left for left, right in segments))}
    output = dict()
    output.update(returnvalue)
    return output
f292([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

293

def f293(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] < min(limit, 3):
            for nxt in sorted(routes.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    work.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
f293([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

294

def f294(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 % 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 = 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
f294([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

295

def f295(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)
    lastlevel = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': result, 'depth': levels, 'frontier': lastlevel, 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
f295([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

296

def f296(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 += 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
f296([('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,9],"end":[-5,5],"far":12,"revisits":[[2,0],[1,0],[0,7],[0,8],[-2,9]],"steps":36}

297

def f297(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices:
            prices[name0] = rate0
    matched = []
    for key, count in left:
        if key in prices and count > 0:
            matched.append((key, count * prices[key] + fee))
    matched.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in matched[:5]], 'total': sum((value for key, value in matched)), 'missing': absent, 'count': len({key for key, value in matched})}
    output = dict()
    output.update(returnvalue)
    return output
f297([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

298

def f298(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[: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 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
f298([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

299

def f299(rows, keep, prices):
    rows = list(rows)
    selected = []
    totals = {}
    amount = 0
    for code, group, state, value in rows:
        if state in keep:
            cost = value * prices[group]
            selected.append((code, cost))
            totals[group] = totals.get(group, 0) + cost
            amount += cost
    selected.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(selected), 'total': amount, 'groups': totals, 'top': list(dict.fromkeys((code for code, cost in selected)))[:3]}
    output = dict()
    output.update(returnvalue)
    return output
f299([('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":319,"edge":126,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":779}

300

def f300(values, width, limit):
    values = list(values)
    size = width
    windows = []
    for pos in range(len(values) - size + 1):
        windows.append(sum((max(item, 0) for item in values[pos:pos + size])))
    matches = [pos for pos, value in enumerate(windows) if value >= limit]
    growth = sum((1 for pos in range(1, min(65, len(windows))) if windows[pos] > windows[pos - 1]))
    returnvalue = {'sums': windows, 'best': max([0] + windows), 'hits': matches, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f300([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

301

def f301(rows, keep, prices):
    rows = list(rows)
    kept = []
    totals = {}
    amount = 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
            amount += cost
    kept.sort(key=lambda item: (-item[1], item[0]))
    returnvalue = {'accepted': len(kept), 'total': amount, 'groups': totals, 'top': [code for code, cost in kept[:3]]}
    output = dict()
    output.update(returnvalue)
    return output
f301([('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13), ('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13)], ['ready', 'checked'], {'north': 7, 'south': 5, 'core': 11, 'edge': 3})
{"accepted":9,"groups":{"core":275,"edge":129,"north":294,"south":40},"top":["DL41","CX93","DL78"],"total":738}

302

def f302(left, right, fee):
    left = list(left)
    prices = {}
    for name0, rate0 in right:
        if name0 not in prices and rate0 != 0:
            prices[name0] = rate0
    combined = []
    for key, count in left[:20]:
        if key in prices and count > 0:
            combined.append((key, count * prices[key] + fee))
    combined.sort(key=lambda item: (-item[1], item[0]))
    absent = sorted((key for key, count in left if key not in prices))
    returnvalue = {'items': [[key, value] for key, value in combined[:5]], 'total': sum((value for key, value in combined)), 'missing': absent, 'count': len(combined)}
    output = dict()
    output.update(returnvalue)
    return output
f302([('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6), ('FP', 7), ('GQ', 10), ('HR', 9)], [('AN', 10), ('BR', 8), ('EV', 8), ('HR', 6)], 3)
{"count":4,"items":[["BR",67],["AN",63],["HR",57],["EV",51]],"missing":["CX","DL","FP","GQ"],"total":238}

303

def f303(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 + 1:
            result.append([left, right])
        else:
            result[-1][1] = max(0, result[-1][1], right)
    spaces = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        spaces.append(left - result[pos - 1][1])
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': spaces, 'longest': max((right - left for left, right in result))}
    output = dict()
    output.update(returnvalue)
    return output
f303([(2, 6), (5, 9), (14, 18), (19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":33,"holes":[5,3,3,6,9],"longest":11,"segments":[[2,9],[14,25],[28,30],[33,37],[43,50],[59,61]]}

304

def f304(lines, stop):
    lines = list(lines)
    tallies = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:20]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop or len(word) > 12:
            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
f304(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

305

def f305(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 += dy
            used = min(64, 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 = (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
f305([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

306

def f306(values, width, limit):
    values = list(values)
    size = width
    series = []
    for pos in range(len(values) - size + 1):
        series.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(series) if value > limit]
    increases = sum((1 for pos in range(1, len(series)) if series[pos] > series[pos - 1]))
    returnvalue = {'sums': series, 'best': max(series), 'hits': positions, 'rises': increases}
    output = dict()
    output.update(returnvalue)
    return output
f306([13, 19, 22, 23, 16, 15, 12, 8, 5, 9, 5, 19, 13, 7, 13], 4, 81)
{"best":80,"hits":[],"rises":4,"sums":[77,80,76,66,51,40,34,27,38,46,44,52]}

307

def f307(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[: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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
f307(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

308

def f308(spans, gap):
    spans = list(spans)
    result = []
    for left, right in sorted(spans):
        if not result or left > result[-1][1] + gap % 5:
            result.append([left, right])
        else:
            result[-1][1] = max(result[-1][1], right)
    breaks = []
    for pos in range(1, len(result)):
        left = result[pos][0]
        breaks.append(min(100, left - result[pos - 1][1]))
    returnvalue = {'segments': result, 'cover': sum((right - left for left, right in result)), 'holes': breaks, 'longest': min(100, max((right - left for left, right in result)))}
    output = dict()
    output.update(returnvalue)
    return output
f308([(2, 6), (7, 11), (14, 18), (18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61)], 1)
{"cover":34,"holes":[3,4,3,6,9],"longest":10,"segments":[[2,11],[14,24],[28,30],[33,37],[43,50],[59,61]]}

309

def f309(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)
    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(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
f309([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

310

def f310(lines, stop):
    lines = list(lines)
    frequency = {}
    stop = {str(word) for word in stop}
    tokens = []
    for line in lines[:32]:
        text = line.lower()
        word = ''
        for char in text:
            if 'a' <= char <= 'z':
                word += char
            elif word:
                tokens.append(word)
                word = ''
        if word:
            tokens.append(word)
    for word in tokens:
        if word in stop:
            continue
        frequency[word] = frequency.get(word, 0) + 1
    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': min(256, sum((len(word) * count for word, count in frequency.items())))}
    output = dict()
    output.update(returnvalue)
    return output
f310(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

311

def f311(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(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
f311([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

312

def f312(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.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] < min(limit, 3):
            for nxt in sorted(children.get(cur, [])):
                if nxt not in distance:
                    distance[nxt] = distance[cur] + 1
                    queue.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
f312([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

313

def f313(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    positions = [pos for pos, value in enumerate(totals) if value >= limit]
    growth = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': positions, 'rises': growth}
    output = dict()
    output.update(returnvalue)
    return output
f313([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

314

def f314(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 = 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
f314([('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2), ('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2)])
{"bounds":[-5,0,3,8],"end":[-5,4],"far":11,"revisits":[[2,0],[1,0],[0,6],[0,7],[-2,8]],"steps":35}

315

def f315(values, width, limit):
    values = list(values)
    size = width
    totals = []
    for pos in range(len(values) - size + 1):
        totals.append(sum(values[pos:pos + size]))
    matches = [pos for pos, value in enumerate(totals[:64]) if value >= limit]
    ups = sum((1 for pos in range(1, len(totals)) if totals[pos] > totals[pos - 1]))
    returnvalue = {'sums': totals, 'best': max(totals), 'hits': matches, 'rises': ups}
    output = dict()
    output.update(returnvalue)
    return output
f315([13, 15, 22, 23, 16, 15, 12, 8, 5, 9, 8, 19, 13, 7, 13], 4, 82)
{"best":76,"hits":[],"rises":4,"sums":[73,76,76,66,51,40,34,30,41,49,47,52]}

316

def f316(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    incoming = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        a, b = (before, after)
        children[a].append(b)
        incoming[b] += 1
    initial = dict(incoming)
    handled = set()
    result = []
    rounds = []
    while len(handled) < len(nodes) and len(handled) < 20:
        available = sorted((node for node in nodes if incoming[node] == 0 and node not in handled), reverse=len(nodes) > 20)
        if not available:
            break
        current = available
        rounds.append(current)
        for node in current:
            handled.add(node)
            result.append(node)
        for node in current:
            for nxt in children[node]:
                incoming[nxt] -= 1
    returnvalue = {'order': result, 'batches': rounds, 'roots': sorted((node for node in nodes if initial[node] == 0)), 'count': len(result)}
    output = dict()
    output.update(returnvalue)
    return output
f316(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('auth', 'api'), ('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('proxy', 'ui')])
{"batches":[["auth","cache","db","proxy"],["api","jobs"],["ui","worker"]],"count":8,"order":["auth","cache","db","proxy","api","jobs","ui","worker"],"roots":["auth","cache","db","proxy"]}

317

def f317(nodes, edges):
    nodes = list(nodes)
    nodes = [node for node in nodes if node not in nodes or any((node in edge for edge in edges))]
    needs = {node: 0 for node in nodes}
    children = {node: [] for node in nodes}
    for before, after in edges:
        if before == after:
            continue
        a, b = (before, after)
        children[a].append(b)
        needs[b] += 1
    startdegree = dict(needs)
    complete = set()
    sequence = []
    groups = []
    while len(complete) < len(nodes):
        nextbatch = sorted((node for node in nodes if needs[node] == 0 and node not in complete), reverse=len(nodes) > 20)
        if not nextbatch:
            break
        current = nextbatch
        groups.append(current)
        for node in current:
            complete.add(node)
            sequence.append(node)
        for node in current:
            for nxt in children[node]:
                needs[nxt] -= 1
    returnvalue = {'order': sequence, 'batches': groups, 'roots': sorted((node for node in nodes if startdegree[node] == 0)), 'count': len(sequence)}
    output = dict()
    output.update(returnvalue)
    return output
f317(['ui', 'proxy', 'jobs', 'auth', 'api', 'cache', 'worker', 'db'], [('db', 'api'), ('cache', 'api'), ('api', 'ui'), ('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')])
{"batches":[["auth","cache","db"],["api","jobs","proxy"],["ui","worker"]],"count":8,"order":["auth","cache","db","api","jobs","proxy","ui","worker"],"roots":["auth","cache","db"]}

318

def f318(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] < min(limit, 3):
            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)
    edge = sorted((node for node in distance if distance[node] == max(distance.values())))
    returnvalue = {'order': listing, 'depth': distance, 'frontier': edge, 'count': len(distance)}
    output = dict()
    output.update(returnvalue)
    return output
f318([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A')], '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"]}

319

def f319(edges, start, limit):
    edges = list(edges)
    children = {}
    for a, b in edges:
        children.setdefault(a, []).append(b)
    levels = {start: 0} if limit > 0 or limit < 0 else {}
    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)
    edge = sorted((node for node in levels if levels[node] == max(levels.values())))
    returnvalue = {'order': listing, 'depth': levels, 'frontier': edge[:3], 'count': len(levels)}
    output = dict()
    output.update(returnvalue)
    return output
f319([('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E'), ('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D')], 'A', 3)
{"count":8,"depth":{"A":0,"B":1,"C":1,"D":1,"E":2,"F":2,"G":2,"H":3},"frontier":["H"],"order":["A","B","C","D","E","F","G","H"]}

320

def f320(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[: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 or len(word) > 12:
            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': sum((len(word) * count for word, count in wordmap.items()))}
    output = dict()
    output.update(returnvalue)
    return output
f320(['Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost', 'Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'], ['frost', 'garnet'])
{"counts":{"amber":6,"blue":1,"cyan":2,"delta":8,"ember":3,"helium":3},"initials":{"a":6,"b":1,"c":2,"d":8,"e":3,"h":3},"size":115,"top":["delta","amber","ember","helium","cyan"]}

Final Query

Give me the output of the final query without executing it!

import json, re
from collections import deque
out = {}
nodes = list(('ui', 'proxy', 'jobs', 'auth') + ('api', 'cache', 'worker', 'db'))
edges = list((('db', 'api'), ('cache', 'api'), ('api', 'ui')) + (('db', 'jobs'), ('jobs', 'worker'), ('auth', 'proxy'), ('proxy', 'ui')))
remaining = set(nodes)
done = set()
order = []
batches = []
while remaining:
    ready = sorted((node for node in remaining if all((before in done for before, after in edges if after == node))))
    if not ready:
        break
    batches.append(ready)
    order.extend(ready)
    done.update(ready)
    remaining.difference_update(ready)
roots = sorted((node for node in nodes if all((after != node for before, after in edges))))
record = {'aa': order, 'bb': batches, 'cc': roots, 'dd': len(order)}
ticket = record['aa'][3]
gap = 1
route = ticket
cases = {
    'proxy': list(((2, 6), (7, 11), (14, 18)) + ((18, 24), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61))),
    'api': list(((2, 6), (5, 9), (14, 18)) + ((19, 25), (28, 30), (33, 37), (43, 50), (48, 50), (59, 61))),
}
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))}
badge = record['cc']
lines = list(('Ember, frost. delta garnet', 'Helium, helium. amber delta frost', 'Frost, amber. helium amber', 'Delta, delta. frost cyan frost') + ('Delta, ember. frost delta', 'Blue, garnet. delta delta ember', 'Cyan, amber. amber amber'))
stop = list(('cyan',) + ('delta',))
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))}
permit = record['dd']
route = permit
cases = {
    115: list((('E', 3), ('W', 2), ('N', 5), ('W', 1), ('N', 3), ('S', 1), ('N', 2)) + (('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 2))),
    109: list((('E', 3), ('W', 2), ('N', 2), ('W', 1), ('N', 5), ('S', 1), ('N', 2)) + (('W', 3), ('E', 3), ('E', 2), ('W', 2), ('S', 2), ('W', 3), ('W', 2), ('S', 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}
signal = record['bb']
keep = list(('ready',) + ('checked',))
rates = dict((('north', 7),) + (('south', 5), ('core', 11), ('edge', 3)))
route = signal
cases = {
    11: list((('AN45', 'edge', 'checked', 17), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13)) + (('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 5), ('AN26', 'edge', 'ready', 13))),
    12: list((('AN45', 'edge', 'checked', 16), ('DL82', 'edge', 'void', 17), ('BR19', 'core', 'checked', 5), ('AN56', 'core', 'hold', 12), ('CX93', 'north', 'checked', 23), ('AN30', 'edge', 'ready', 13)) + (('CX67', 'core', 'hold', 20), ('BR04', 'north', 'void', 19), ('DL41', 'core', 'ready', 15), ('DL78', 'north', 'ready', 19), ('BR15', 'south', 'hold', 22), ('DL52', 'south', 'ready', 8), ('BR89', 'core', 'ready', 9), ('AN26', 'edge', 'ready', 13))),
}
rows = cases[route]
chosen = [(code, group, value) for code, group, state, value in rows if state in keep]
priced = [(code, group, value * rates[group]) for code, group, value in chosen]
groups = {}
for code, group, price in priced:
    groups[group] = groups.get(group, 0) + price
ranked = sorted(priced, key=lambda row: (-row[2], row[0]))
record = {'aa': [row[0] for row in ranked[:3]], 'bb': sum((row[2] for row in priced)), 'cc': len(priced), 'dd': groups}
token = record['bb']
left = list((('AN', 6), ('BR', 8), ('CX', 4), ('DL', 6), ('EV', 6)) + (('FP', 7), ('GQ', 10), ('HR', 9)))
fee = 3
route = (badge, token)
cases = {
    (34, 779): list((('AN', 10), ('BR', 8), ('EV', 8)) + (('HR', 6),)),
    (34, 738): list((('AN', 10), ('BR', 8), ('EV', 8)) + (('HR', 6),)),
    (33, 779): list((('AN', 10), ('BR', 8), ('EV', 8)) + (('HR', 6),)),
    (33, 738): list((('AN', 8), ('BR', 12), ('EV', 8)) + (('HR', 6),)),
}
right = cases[route]
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)}
memo = record['bb']
width = 4
route = memo
cases = {
    258: (list((13, 19, 22, 23, 16, 15, 12) + (8, 5, 9, 5, 19, 13, 7, 13)), 81),
    238: (list((13, 15, 22, 23, 16, 15, 12) + (8, 5, 9, 8, 19, 13, 7, 13)), 82),
}
values, limit = cases[route]
current = sum(values[:width])
sums = [current]
for pos in range(width, len(values)):
    current += values[pos] - values[pos - width]
    sums.append(current)
hits = []
rises = 0
for pos, value in enumerate(sums):
    if value >= limit:
        hits.append(pos)
    if pos and value > sums[pos - 1]:
        rises += 1
record = {'aa': hits, 'bb': max(sums), 'cc': rises, 'dd': sums}
clue = record['bb']
start = 'A'
limit = 3
route = clue
cases = {
    76: list((('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E')) + (('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('A', 'D'))),
    80: list((('A', 'C'), ('A', 'B'), ('B', 'D'), ('B', 'E')) + (('C', 'F'), ('D', 'G'), ('E', 'G'), ('F', 'H'), ('G', 'A'), ('H', 'A'))),
}
edges = cases[route]
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)}
out['aa'] = record['aa']
out['bb'] = record['bb']
out['cc'] = record['cc']
out['dd'] = record['dd']
print(json.dumps(out, separators=(",", ":"), sort_keys=True))