Submission #12152078

Source Code Expand

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import sys
input = lambda: sys.stdin.readline().rstrip()
N = int(input())
C = [int(a) - 1 for a in input().split()]
X = [[] for i in range(N)]
for i in range(N-1):
    x, y = map(int, input().split())
    X[x-1].append(y-1)
    X[y-1].append(x-1)
def EulerTour(n, X, i0):
    f = lambda k: k * (k + 1) // 2
    USED = [0] * n
    ORG = [0] * n
    TMP = [0] * n
    P = [-1] * n
    Q = [~i0, i0]
    ct = -1
    ET1 = [0] * n
    ET2 = [0] * n
    ANS = [f(n)] * n
 
 
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import sys
input = lambda: sys.stdin.readline().rstrip()
N = int(input())
C = [int(a) - 1 for a in input().split()]
X = [[] for i in range(N)]
for i in range(N-1):
    x, y = map(int, input().split())
    X[x-1].append(y-1)
    X[y-1].append(x-1)

def EulerTour(n, X, i0):
    f = lambda k: k * (k + 1) // 2
    USED = [0] * n
    ORG = [0] * n
    TMP = [0] * n
    P = [-1] * n
    Q = [~i0, i0]
    ct = -1
    ET1 = [0] * n
    ET2 = [0] * n
    ANS = [f(n)] * n
    while Q:
        i = Q.pop()
        if i < 0:
            i = ~i
            ET2[i] = ct
            USED[C[i]] += 1 + TMP[i]
            if i:
                p = P[i]
                k = ET2[i] - ET1[i] + 1 - USED[C[p]] + ORG[i]
                ANS[C[p]] -= f(k)
                TMP[p] += k
            continue
        if i >= 0:
            if i: ORG[i] = USED[C[P[i]]]
            ct += 1
            if ET1[i] == 0: ET1[i] = ct
        for a in X[i][::-1]:
            if a != P[i]:
                P[a] = i
                for k in range(len(X[a])):
                    if X[a][k] == i:
                        del X[a][k]
                        break
                Q.append(~a)
                Q.append(a)
    for i in range(n):
        ANS[i] -= f(n - USED[i])
    return ANS

print(*EulerTour(N, X, 0), sep = "\n")

Submission Info

Judge Result