Submission #2711477

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Source Code Expand

# seishin.py
from collections import deque
N = int(input())
*P, = map(int, input().split())
MOD = 10**9 + 7

G = [[] for i in range(N+1)]
for i, p in enumerate(P):
    G[p].append(i+1)
Q = [None]*(N+1)
A = [None]*(N+1)
for i in range(N, -1, -1):

    # 子ノードのdequeを集める
    R = None
    for j in G[i]:
        S = Q[j]
        if not R:
            R = S
            continue

        # |R| > |S|
        if len(R) < len(S):
            R, S = S, R

        # dequeの小さい方から大きい方へマージする処理
        for s, r in zip(S, R):
            a0, a1, a2, c0 = s
            b0, b1, b2, c1 = r
            r[0] = a0*b0 % MOD
            r[1] = (a0*b1 + a1*b0) % MOD
            r[2] = (a0*b2 + a1*b1 + a2*b0 + a1*b2 + a2*b2 + a2*b1) % MOD
            r[3] = c0+c1

    k = len(G[i])
    if k:
        r = [[pow(2, k, MOD) - k, k, 0, k]]
    else:
        r = []
    if R:
        # a0 <- a2
        for e in R:
            e[0] += e[2]
            e[2] = 0
        r.extend(R)
        Q[i] = r
    else:
        Q[i] = r
ans = pow(2, N, MOD)
for a0, a1, a2, c in Q[0]:
    ans += pow(2, N+1-c, MOD) * a1 % MOD
print(ans % MOD)

Submission Info

Judge Result