結果

問題 No.1698 Face to Face
ユーザー eSeFeSeF
提出日時 2021-09-18 17:37:52
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 3,921 ms / 5,000 ms
コード長 4,285 bytes
コンパイル時間 401 ms
コンパイル使用メモリ 82,072 KB
実行使用メモリ 216,912 KB
最終ジャッジ日時 2024-07-19 10:17:04
合計ジャッジ時間 89,699 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 41 ms
54,784 KB
testcase_01 AC 41 ms
55,168 KB
testcase_02 AC 41 ms
55,040 KB
testcase_03 AC 766 ms
186,120 KB
testcase_04 AC 1,156 ms
200,400 KB
testcase_05 AC 3,281 ms
213,992 KB
testcase_06 AC 3,256 ms
216,912 KB
testcase_07 AC 2,974 ms
215,600 KB
testcase_08 AC 2,911 ms
213,332 KB
testcase_09 AC 2,872 ms
213,708 KB
testcase_10 AC 1,081 ms
202,200 KB
testcase_11 AC 3,302 ms
210,972 KB
testcase_12 AC 3,724 ms
214,644 KB
testcase_13 AC 41 ms
55,040 KB
testcase_14 AC 41 ms
54,656 KB
testcase_15 AC 3,659 ms
208,768 KB
testcase_16 AC 3,921 ms
212,236 KB
testcase_17 AC 3,866 ms
211,904 KB
testcase_18 AC 3,329 ms
194,536 KB
testcase_19 AC 3,432 ms
194,104 KB
testcase_20 AC 3,536 ms
192,068 KB
testcase_21 AC 2,114 ms
138,576 KB
testcase_22 AC 1,912 ms
129,584 KB
testcase_23 AC 862 ms
93,584 KB
testcase_24 AC 2,345 ms
150,400 KB
testcase_25 AC 3,650 ms
202,836 KB
testcase_26 AC 618 ms
88,728 KB
testcase_27 AC 1,433 ms
113,996 KB
testcase_28 AC 1,525 ms
117,456 KB
testcase_29 AC 1,308 ms
109,496 KB
testcase_30 AC 2,497 ms
156,704 KB
testcase_31 AC 2,312 ms
143,424 KB
testcase_32 AC 2,787 ms
172,924 KB
testcase_33 AC 2,917 ms
175,496 KB
testcase_34 AC 3,766 ms
205,840 KB
testcase_35 AC 42 ms
54,528 KB
testcase_36 AC 45 ms
55,040 KB
testcase_37 AC 42 ms
54,912 KB
testcase_38 AC 46 ms
55,296 KB
testcase_39 AC 46 ms
54,784 KB
testcase_40 AC 46 ms
55,296 KB
testcase_41 AC 44 ms
55,168 KB
testcase_42 AC 43 ms
54,400 KB
testcase_43 AC 43 ms
54,528 KB
testcase_44 AC 43 ms
54,912 KB
testcase_45 AC 2,255 ms
209,412 KB
testcase_46 AC 2,467 ms
210,444 KB
testcase_47 AC 2,433 ms
209,412 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

class UnionFind_AB:
    def __init__(self, N):
        self.p = [-1] * N
        self.L = [i for i in range(N)]
        self.R = [i for i in range(N)]
    def root(self, x):
        while self.p[x] >= 0:
            x = self.p[x]
        return x
 
    def same(self, x, y):
        return self.root(x) == self.root(y)
 
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x == y:
            return
        p = self.p
        if p[x] > p[y]:
            p[y] += p[x]
            p[x] = y
            if self.L[y] > self.L[x]:
                self.L[y] = self.L[x]
            if self.R[y] < self.R[x]:
                self.R[y] = self.R[x]
        else:
            p[x] += p[y]
            p[y] = x
            if self.L[x] > self.L[y]:
                self.L[x] = self.L[y]
            if self.R[x] < self.R[y]:
                self.R[x] = self.R[y]
 
    def size(self, x):
        return -self.p[self.root(x)]
    def left(self, v):
        return self.L[self.root(v)]
    def right(self,v):
        return self.R[self.root(v)]

class UnionFind_IDX:
    def __init__(self, N):
        self.p = [-1] * N
        self.num_pair = [0] * N
        self.score = 0
 
    def root(self, x):
        while self.p[x] >= 0:
            x = self.p[x]
        return x
 
    def same(self, x, y):
        return self.root(x) == self.root(y)
 
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x == y:
            return
        self.score -= self.sub_score(x) + self.sub_score(y)
        p = self.p
        if p[x] > p[y]:
            p[y] += p[x]
            p[x] = y
            self.num_pair[y] += self.num_pair[x]
            self.score += self.sub_score(y)
        else:
            p[x] += p[y]
            p[y] = x
            self.num_pair[x] += self.num_pair[y]
            self.score += self.sub_score(x)

    def add_pair(self,v):
        rv = self.root(v)
        self.score -= self.sub_score(rv)
        self.num_pair[rv]+=1
        self.score += self.sub_score(rv)
    def size(self, x):
        return -self.p[self.root(x)]
    def sub_score(self,v):
        return min(-self.p[self.root(v)],self.num_pair[self.root(v)])

import sys
from collections import deque

def main():
    input = sys.stdin.buffer.readline
    n = int(input())
    a = list(map(int,input().split()))
    b = list(map(int,input().split()))
    z = list(map(int,input().split()))

    ida = [-1]*n
    idb = [-1]*n
    rn = range(n)
    for i in rn:
        a[i]-=1
        b[i]-=1
        z[i]-=1
        ida[a[i]]=i
        idb[b[i]]=i

    pos_left = [-1]*n
    l = [-1]*n
    r = [n]*n
    mid = [[] for i in rn]
    for _ in [0]*(17):
        for i in rn:
            if r[i]-l[i]>1:
                mid[(l[i]+r[i])//2].append(i)

        ufa = UnionFind_AB(n)
        ufb = UnionFind_AB(n)
        for k in rn:
            ia = ida[k]
            ib = idb[k]
            if 0<ia and a[ia-1]<=k:
                ufa.unite(ia-1,ia)
            if ia+1<n and a[ia+1]<=k:
                ufa.unite(ia,ia+1)
            if 0<ib and b[ib-1]<=k:
                ufb.unite(ib-1,ib)
            if ib+1<n and b[ib+1]<=k:
                ufb.unite(ib,ib+1)
        
            for j in mid[k]:
                la, ra = ufa.left(ida[j]),ufa.right(ida[j])
                lb, rb = ufb.left(idb[z[j]]),ufb.right(idb[z[j]])

                if ra < lb or rb < la:
                    l[j] = k
                else:
                    r[j] = k
                    pos_left[j] = max(la,lb)
            mid[k].clear()

    for i in rn:
        mid[r[i]].append(i)

    less_k = [0]*n
    ufi = UnionFind_IDX(n)
    ans = []
    for k in rn:
        ia, ib = ida[k],idb[k]
        less_k[ia]+=1
        less_k[ib]+=1
        if less_k[ia]==2:
            if 0<ia and less_k[ia-1]==2:
                ufi.unite(ia-1,ia)
            if ia+1<n and less_k[ia+1]==2:
                ufi.unite(ia,ia+1)
        if less_k[ib]==2:
            if 0<ib and less_k[ib-1]==2:
                ufi.unite(ib-1,ib)
            if ib+1<n and less_k[ib+1]==2:
                ufi.unite(ib,ib+1)
        for j in mid[k]:
            ufi.add_pair(pos_left[j])
        ans.append(ufi.score)

    print("\n".join(map(str,ans)))

if __name__=='__main__':
    main()
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