Buggy python submission (verdict: Time Limit Exceeded):

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (visited[pos] > cost):
            continue
        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (cost + nxt_cost > visited[nxt]):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []

    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]

    que.append(0)
    visited[0] = 0
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now
        cost = visited[pos]

        if (visited[pos] > cost):
            continue
        if (update_cnt[pos] >= MAX_M):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (cost + nxt_cost > visited[nxt]):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append(nxt)

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]



        if (pos == N - 1):
            result = max(result, cost)
            if (update_cnt[N - 1] >= MAX_N):
                return (0, False)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (cost + nxt_cost > visited[nxt]):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (visited[pos] != -INF):
            if (visited[pos] >= cost):
                continue
            if (update_cnt[pos] >= MAX_N):
                continue
            visited[pos] = cost
            update_cnt[pos] += 1
        else:
            visited[pos] = cost
            update_cnt[pos] += 1

        if (pos == N - 1):
            result = max(result, cost)
            if (update_cnt[N - 1] >= MAX_N):
                return (0, False)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (cost + nxt_cost > visited[nxt]):
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (visited[pos] != -INF):
            if (visited[pos] >= cost):
                continue
            if (update_cnt[pos] >= MAX_N):
                continue
            visited[pos] = cost
            update_cnt[pos] += 1
        else:
            visited[pos] = cost
            update_cnt[pos] += 1

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (cost + nxt_cost > visited[nxt]):
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 100

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (visited[pos] != -INF):
            if (visited[pos] >= cost):
                continue
            if (update_cnt[pos] >= MAX_N):
                continue
            visited[pos] = cost
            update_cnt[pos] += 1
        else:
            visited[pos] = cost
            update_cnt[pos] += 1

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 1
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                continue
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]

        if (pos == N - 1):
            result = max(result, cost)
            if (visited[pos][1] >= MAX_N):
                return (0, False)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 1
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                continue
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    if (visited[N - 1][1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                continue
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    if (visited[N - 1][1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                continue
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    if (visited[N - 1][1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos == N - 1):
            result = max(result, cost)

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                continue
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    if (visited[N - 1][1] >= MAX_N):
        return (0, False)
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos == N - 1):
            result = max(result, cost)

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= 2 * MAX_M):
                return (0, False)
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 0]


        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= (10 ** 6)):
                return (0, False)
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 1]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        assert(False)
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= MAX_N):
                return (0, False)
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 1]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[nxt][0]):
                que.append([nxt, nxt_cost + cost])
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        assert(False)
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = -(10 ** 100)

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = defaultdict(list)
    result = INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]

        if (pos in visited):
            visited_cost = visited[pos][0]
            visited_cnt = visited[pos][1]
            if (visited_cost >= cost):
                continue
            if (visited_cnt >= 5 * MAX_N):
                return (0, False)
            visited[pos] = [cost, visited_cnt + 1]
        else:
            visited[pos] = [cost, 1]

        if (pos == N - 1):
            result = max(result, cost)

        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]
            if (nxt not in visited):
                que.append([nxt, nxt_cost + cost])
            elif(nxt_cost + cost > visited[pos][0]):
                que.append([nxt, nxt_cost + cost])
    return (result, True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = defaultdict(list)
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        assert(False)
    else:
        print (res)


Fixed submission:

MAX_N = 10 ** 3 + 10
MAX_M = 2 * (10 ** 3) + 1
INF = 10 ** 13

def bfs(graph, N, M):
    que = []
    que.append([0, 0])
    visited = [-INF for x in range(MAX_N)]
    update_cnt = [0 for x in range(MAX_N)]
    result = -INF
    while (len(que) > 0):
        now = que[0]
        que.pop(0)

        pos = now[0]
        cost = now[1]
        if (visited[pos] > cost):
            continue
        for val in graph[pos]:
            nxt = val[0]
            nxt_cost = val[1]

            if (cost + nxt_cost > visited[nxt] and update_cnt[nxt] < MAX_M):
                visited[nxt] = cost + nxt_cost
                update_cnt[nxt] += 1
                que.append([nxt, nxt_cost + cost])

    if (update_cnt[N - 1] >= MAX_N):
        return (0, False)
    return (visited[N - 1], True)


if __name__ == "__main__":
    N, M = map(int, input().split())
    graph = [[] for x in range(MAX_N)]
    for x in range(M):
        a,b,c = map(int, input().split())
        a -= 1
        b -= 1
        graph[a].append([b, c])
    res,ok = bfs(graph, N, M)
    if (not ok):
        print ('inf')
    else:
        print (res)