Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(500000)

def main():
    N, M = map(int, input().split())
    E = [[] for _ in range(N+1)]
    for u, v, s in zip(*[iter(map(int, sys.stdin.read().split()))]*3):
        E[u].append((v, s))
        E[v].append((u, s))

    V = [[None] * (N+1), [None] * (N+1)]

    def dfs(v=1, sign=1, val=0):
        V[sign][v] = val
        sign = 1 - sign
        for u, s in E[v]:
            if V[sign][u] is None:
                dfs(u, sign, s-val)

    dfs()

    mi, ma = 1, float("inf")
    for m, p in zip(V[0][1:], V[1][1:]):
        if m is not None and p is not None:
            mp = m - p
            if mp % 2 == 0:
                a = mp // 2
                mi = max(mi, a)
                ma = min(ma, a)
            else:
                ma = -1
        if p is not None:
            mi = max(mi, 1-p)
        if m is not None:
            ma = min(ma, m-1)

    ans = max(0, ma-mi+1)

    if ans==0:
        assert False

    if ans == 1:
        A = [-1] * (N+1)
        def check(v=1, val=ma):
            A[v] = val
            for u, s in E[v]:
                if A[u] == -1:
                    check(u, s - val)
                else:
                    if A[u] != s - val:
                        print(0)
                        exit()

        check()
        #print(A)
    print(ans)

main()


Fixed submission:
import sys
sys.setrecursionlimit(500000)

def main():
    N, M = map(int, input().split())
    E = [[] for _ in range(N+1)]
    for u, v, s in zip(*[iter(map(int, sys.stdin.read().split()))]*3):
        E[u].append((v, s))
        E[v].append((u, s))

    V = [[None] * (N+1), [None] * (N+1)]

    def dfs(v=1, sign=1, val=0):
        V[sign][v] = val
        sign = 1 - sign
        for u, s in E[v]:
            if V[sign][u] is None:
                dfs(u, sign, s-val)
            else:
                if V[sign][u] != s-val:
                    print(0)
                    exit()

    dfs()

    mi, ma = 1, float("inf")
    for m, p in zip(V[0][1:], V[1][1:]):
        if m is not None and p is not None:
            mp = m - p
            if mp % 2 == 0:
                a = mp // 2
                mi = max(mi, a)
                ma = min(ma, a)
            else:
                ma = -1
        if p is not None:
            mi = max(mi, 1-p)
        if m is not None:
            ma = min(ma, m-1)

    ans = max(0, ma-mi+1)

    # if ans == 1:
    #     A = [-1] * (N+1)
    #     def check(v=1, val=ma):
    #         A[v] = val
    #         for u, s in E[v]:
    #             if A[u] == -1:
    #                 check(u, s - val)
    #             else:
    #                 if A[u] != s - val:
    #                     print(0)
    #                     exit()
    #
    #     check()
        #print(A)
    print(ans)

main()

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(500000)

def main():
    N, M = map(int, input().split())
    E = [[] for _ in range(N+1)]
    for u, v, s in zip(*[iter(map(int, sys.stdin.read().split()))]*3):
        E[u].append((v, s))
        E[v].append((u, s))

    V = [[None] * (N+1), [None] * (N+1)]

    def dfs(v=1, sign=1, val=0):
        V[sign][v] = val
        sign = 1 - sign
        for u, s in E[v]:
            if V[sign][u] is None:
                dfs(u, sign, s-val)

    dfs()

    mi, ma = 1, float("inf")
    for m, p in zip(V[0][1:], V[1][1:]):
        if m is not None and p is not None:
            mp = m - p
            if mp % 2 == 0:
                a = mp // 2
                mi = max(mi, a)
                ma = min(ma, a)
            else:
                ma = -1
        if p is not None:
            mi = max(mi, 1-p)
        if m is not None:
            ma = min(ma, m-1)

    ans = max(0, ma-mi+1)

    if ans == 1:
        assert False
        A = [-1] * (N+1)
        def check(v=1, val=ma):
            A[v] = val
            for u, s in E[v]:
                if A[u] == -1:
                    check(u, s - val)
                else:
                    if A[u] != s - val:
                        print(0)
                        exit()

        check()
        #print(A)
    print(ans)

main()


Fixed submission:
import sys
sys.setrecursionlimit(500000)

def main():
    N, M = map(int, input().split())
    E = [[] for _ in range(N+1)]
    for u, v, s in zip(*[iter(map(int, sys.stdin.read().split()))]*3):
        E[u].append((v, s))
        E[v].append((u, s))

    V = [[None] * (N+1), [None] * (N+1)]

    def dfs(v=1, sign=1, val=0):
        V[sign][v] = val
        sign = 1 - sign
        for u, s in E[v]:
            if V[sign][u] is None:
                dfs(u, sign, s-val)
            else:
                if V[sign][u] != s-val:
                    print(0)
                    exit()

    dfs()

    mi, ma = 1, float("inf")
    for m, p in zip(V[0][1:], V[1][1:]):
        if m is not None and p is not None:
            mp = m - p
            if mp % 2 == 0:
                a = mp // 2
                mi = max(mi, a)
                ma = min(ma, a)
            else:
                ma = -1
        if p is not None:
            mi = max(mi, 1-p)
        if m is not None:
            ma = min(ma, m-1)

    ans = max(0, ma-mi+1)

    # if ans == 1:
    #     A = [-1] * (N+1)
    #     def check(v=1, val=ma):
    #         A[v] = val
    #         for u, s in E[v]:
    #             if A[u] == -1:
    #                 check(u, s - val)
    #             else:
    #                 if A[u] != s - val:
    #                     print(0)
    #                     exit()
    #
    #     check()
        #print(A)
    print(ans)

main()