Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(N: int, M: int, S: str):

    # 最短手数を求める
    DP = [INF]*(N+1)
    DP[0] = 0
    for i in range(1, N+1):
        if S[i] == "1":
            continue
        for j in range(1, M+1):
            if i-j < 0:
                break
            DP[i] = min(DP[i], DP[i-j]+1)

    if DP[-1] == INF:
        print(-1)
        return
    # 逆順に辿って実際の手を求める
    # 辞書順になるよう、後ろから貪欲に選ぶ
    ans = []
    curr = N
    while curr > 0:
        for i in range(M, 0, -1):
            if curr-i < 0:
                continue
            if curr-i == 0:
                break
            if DP[curr-i] < DP[curr]:
                break
        curr = curr - i
        ans.append(i)
    print(*reversed(ans), sep=" ")

    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    solve(N, M, S)


if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(N: int, M: int, S: str):

    S = S[::-1]
    data = [0]*(N+1)
    past = 0
    for i in range(N+1):
        if S[i] == "1":
            data[i] = past
        else:
            past = i
    ans = []
    curr = 0
    while True:
        ne = curr+M
        if ne >= N:
            ans.append(N-curr)
            break
        if S[ne] == "1":
            ne = data[ne]
            if ne <= curr:
                print(-1)
                return
        ans.append(ne - curr)
        curr = ne
    print(*reversed(ans), sep=" ")
    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    solve(N, M, S)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(N: int, M: int, S: str):

    # 最短手数を求める
    DP = [INF]*(N+1)
    DP[0] = 0
    for i in range(1, N+1):
        if S[i] == "1":
            continue
        for j in range(1, M+1):
            if i-j < 0:
                break
            DP[i] = min(DP[i], DP[i-j]+1)

    if DP[-1] == INF:
        print(-1)
        return
    # 逆順に辿って実際の手を求める
    # 辞書順になるよう、後ろから貪欲に選ぶ
    ans = []
    curr = N
    while curr > 0:
        for i in range(M, 0, -1):
            if curr-i == 0:
                break
            if DP[curr-i] < DP[curr]:
                break
        curr = curr - i
        ans.append(i)
    print(*reversed(ans), sep=" ")

    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    solve(N, M, S)


if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
INF = float("inf")


def solve(N: int, M: int, S: str):

    S = S[::-1]
    data = [0]*(N+1)
    past = 0
    for i in range(N+1):
        if S[i] == "1":
            data[i] = past
        else:
            past = i
    ans = []
    curr = 0
    while True:
        ne = curr+M
        if ne >= N:
            ans.append(N-curr)
            break
        if S[ne] == "1":
            ne = data[ne]
            if ne <= curr:
                print(-1)
                return
        ans.append(ne - curr)
        curr = ne
    print(*reversed(ans), sep=" ")
    return


def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    S = next(tokens)  # type: str
    solve(N, M, S)


if __name__ == '__main__':
    main()