Buggy python submission (verdict: Runtime Error):
# coding: utf-8
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)

def f2(n):

    dp = [[0] * n for _ in range(n)]
    s = [1] * n

    def dfs(i, j):  # from i to j
        dpi = dp[i]
        if dpi[j]:
            return(dpi[j])
        dpij = 1
        for u in U[i]:
            if u != j:
                dpij = dpij * (dfs(u, i) + 1) % M
        s[j] = s[j] * (dpij + 1) % M
        dpi[j] = dpij
        return(dpij)

    for i in range(n):
        for u in U[i]:
            dfs(u, i)
    print("\n".join([str(x) for x in s]))

N, M = map(int, input().split()) # 1 <= N <= 10^5, 2 <= M <= 10^9
U = [set() for _ in range(N)]
for x, y in [map(int, input().split()) for _ in range(N - 1)]:
    U[x - 1].add(y - 1)
    U[y - 1].add(x - 1)
f2(N)


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Runtime Error):
# coding: utf-8
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)

def f2(n):

    dp = [[0] * n for _ in range(n)]
    s = [1] * n

    def dfs(i, j):  # from i to j
        dpi = dp[i]
        if dpi[j]:
            return(dpi[j])
        dpij = 1
        for u in U[i]:
            if u != j:
                dpij = dpij * (dfs(u, i) + 1) % M
        s[j] = s[j] * (dpij + 1) % M
        dpi[j] = dpij
        return(dpij)

    for i in range(n):
        for u in U[i]:
            dfs(u, i)
    print("\n".join([str(x) for x in s]))

N, M = map(int, input().split()) # 1 <= N <= 10^5, 2 <= M <= 10^9
U = [set() for _ in range(N)]
for x, y in [map(int, input().split()) for _ in range(N - 1)]:
    U[x - 1].add(y - 1)
    U[y - 1].add(x - 1)
f2(N)


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        dp = list(accum(dp, lambda x, y: (x + y) % mod))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        dp = [x % mod for x in accum(dp, lambda x, y: (x + y) % mod)]
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, a):
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        # csum: Cumulative sum
        # csum[j + 1] = dp[i-1][0] + dp[i-1][1] + ... + dp[i-1][j]
        csum = [0] + [x % mod for x in accum(dp[i - 1])]
        dpi = dp[i]
        for j in range(1, k + 1):
            l = 0 if j < a[i] else j - a[i]
            dpi[j] = csum[j + 1] - csum[l]
            if dpi[j] < 0:
                dpi[j] += mod
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k, a))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

import sys
input = sys.stdin.readline

def f(n, k):
    global a
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        # csum: Cumulative sum
        # csum[j + 1] = dp[i-1][0] + dp[i-1][1] + ... + dp[i-1][j]
        csum = [0] + list(dp[i - 1])
        for j in range(k + 1):
            csum[j + 1] += csum[j]
            csum[j + 1] %= mod
        dpi = dp[i]
        for j in range(1, k + 1):
            l = 0 if j < a[i] else j - a[i]
            dpi[j] = csum[j + 1] - csum[l]
            if dpi[j] < 0:
                dpi[j] += mod
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

import sys
input = sys.stdin.readline

def f(n, k):
    global a
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        # csum: Cumulative sum
        # csum[j + 1] = dp[i-1][0] + dp[i-1][1] + ... + dp[i-1][j]
        csum = [0] + list(dp[i - 1])
        for j in range(k + 1):
            csum[j + 1] += csum[j]
            csum[j + 1] %= mod
        dpi = dp[i]
        for j in range(1, k + 1):
            dpi[j] = csum[j + 1] - csum[max(0, j - a[i])]
            if dpi[j] < 0:
                dpi[j] += mod
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

import sys
input = sys.stdin.readline

def f(n, k):
    global a
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        # csum: Cumulative sum
        # csum[j + 1] = dp[i-1][0] + dp[i-1][1] + ... + dp[i-1][j]
        csum = [0] + list(dp[i - 1])
        for j in range(k + 1):
            csum[j + 1] += csum[j]
            csum[j + 1] %= mod
        for j in range(1, k + 1):
            dp[i][j] = csum[j + 1] - csum[max(0, j - a[i])] + mod
            dp[i][j] %= mod
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

import sys
input = sys.stdin.readline

def f(n, k):
    global a
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        csum = [0] + list(dp[i - 1])
        for j in range(k + 1):
            csum[j + 1] += csum[j]
            csum[j + 1] %= mod
        for j in range(1, k + 1):
            dp[i][j] = csum[j + 1] - csum[max(0, j - a[i])]
            if dp[i][j] < 0:
              dp[i][j] += mod
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8

import sys
input = sys.stdin.readline

def f(n, k):
    global a
    mod = int(1e9 + 7)
    dp = [[0] * (k + 1) for _ in range(n + 1)]
    for i in range(n + 1):
        dp[i][0] = 1
    for i in range(1, n + 1):
        csum = [0] + list(dp[i - 1])
        for j in range(k + 1):
            csum[j + 1] += csum[j]
            csum[j + 1] -= mod if csum[j + 1] >= mod else 0
        for j in range(1, k + 1):
            dp[i][j] = csum[j + 1] - csum[max(0, j - a[i])]
            dp[i][j] += mod if dp[i][j] < 0 else 0
    return(dp[n][k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
a.insert(0, 0)
print(f(n, k))


Fixed submission:
# coding: utf-8

from itertools import accumulate as accum
import sys
input = sys.stdin.readline

def f(n, k, ai):
    mod = int(1e9 + 7)
    dp = [0] * (k + 1)
    dp[0] = 1
    for a in ai:
        # csum: Cumulative sum
        # dp[j] = dp[0] + dp[1] + ... + dp[j]
        # dp = list(accum(dp, lambda x, y: (x + y) % mod))
        dp = list(accum(dp))
        # j = 0 ～ a[i] までは累積和の結果そのままで a[i] + 1 以降は
        # dp[j] -= dp[j] - dp[j - a[i] - 1]
        dp[a + 1:] = [x - y for x, y in zip(dp[a + 1:], dp)]
        dp = [x % mod for x in dp]
    return(dp[k])

n, k = map(int, input().split()) # 1 <= n <= 100, 0 <= k <= 10^5
a = list(map(int, input().split()))
print(f(n, k, a))