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  • MemSQL Start[c]UP 2.0

    F - Permutation

    思路:对于当前的值x, 只需要知道x + k, x - k这两个值是否出现在其左右两侧,又因为每个值只有一个,

    所以可以转换成,x+k, x-k在到x所在位置的时候是否都出现,或者都不出现,即出现情况相等,我们可以

    用线段树维护hash值的方式来判断所有x+k,  x-k的出现情况是否都一样。

    #include<bits/stdc++.h>
    #define LL long long
    #define fi first
    #define se second
    #define mk make_pair
    #define PII pair<int, int>
    #define PLI pair<LL, int>
    #define ull unsigned long long
    using namespace std;
    
    const int N = 3e5 + 7;
    const int inf = 0x3f3f3f3f;
    const LL INF = 0x3f3f3f3f3f3f3f3f;
    const int mod = 1e9 + 7;
    const double eps = 1e-8;
    
    int n;
    ull Pow[N];
    struct segmentTree {
    #define lson l,mid,rt<<1
    #define rson mid+1,r,rt<<1|1
        struct info1 {
            ull hs; int len;
            info1 operator + (const info1 &rhs) {
                return info1{hs+rhs.hs*Pow[len], len+rhs.len};
            }
        } a[N<<2];
        struct info2 {
            ull hs; int len;
            info2 operator + (const info2 &rhs) {
                return info2{rhs.hs+hs*Pow[rhs.len], len+rhs.len};
            }
        } b[N<<2];
        void build(int l, int r, int rt) {
            if(l == r) {
                a[rt] = info1{0, 1};
                b[rt] = info2{0, 1};
                return;
            }
            int mid = l + r >> 1;
            build(lson); build(rson);
            a[rt] = a[rt<<1] + a[rt<<1|1];
            b[rt] = b[rt<<1] + b[rt<<1|1];
        }
        void update(int p, int l, int r, int rt) {
            if(l == r) {
                a[rt] = info1{1, 1};
                b[rt] = info2{1, 1};
                return ;
            }
            int mid = l + r >> 1;
            if(p <= mid) update(p, lson);
            else update(p, rson);
            a[rt] = a[rt<<1] + a[rt<<1|1];
            b[rt] = b[rt<<1] + b[rt<<1|1];
        }
        info1 querya(int L, int R, int l, int r, int rt) {
            if(l >= L && r <= R) return a[rt];
            int mid = l + r >> 1;
            if(R <= mid) return querya(L, R, lson);
            else if(L > mid) return querya(L, R, rson);
            else return querya(L, R, lson) + querya(L, R, rson);
        }
        info2 queryb(int L, int R, int l, int r, int rt) {
            if(l >= L && r <= R) return b[rt];
            int mid = l + r >> 1;
            if(R <= mid) return queryb(L, R, lson);
            else if(L > mid) return queryb(L, R, rson);
            else return queryb(L, R, lson) + queryb(L, R, rson);
        }
    } seg;
    
    int main() {
        for(int i=Pow[0]=1; i < N; i++) Pow[i]=Pow[i-1]*131;
        scanf("%d", &n);
        seg.build(1, n, 1);
        bool flag = false;
        for(int i = 1; i <= n; i++) {
            int x; scanf("%d", &x);
            int len = min(x-1, n-x);
            if(len && seg.querya(x-len, x-1, 1, n, 1).hs != seg.queryb(x+1, x+len, 1, n, 1).hs)
                flag = true;
            seg.update(x, 1, n, 1);
        }
        if(flag) puts("YES");
        else puts("NO");
        return 0;
    }
    
    /*
    */
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  • 原文地址:https://www.cnblogs.com/CJLHY/p/9895664.html
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