56 lines
1.5 KiB
C++
56 lines
1.5 KiB
C++
#include <bits/stdc++.h>
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using namespace std;
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#define lowbit(x) (x & -x)
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const int N = 1e5 + 10;
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int n, a[N];
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int b[N], bl; //离散化数组,用于辅助树状数组
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int c[N]; //树状数组
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int res; //结果
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//计算x值在原序列中的排名
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int get(int x) {
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return lower_bound(b, b + bl, x) - b + 1;
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}
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//单点更新x
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void update(int i, int x) {
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for (; i <= bl; i += lowbit(i)) c[i] = max(c[i], x);
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}
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//求1~i的最大值
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int query(int i) {
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int s = 0;
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for (; i; i -= lowbit(i)) s = max(s, c[i]);
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return s;
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}
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int main() {
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scanf("%d", &n);
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for (int i = 0; i < n; i++) scanf("%d", &a[i]), b[i] = a[i];
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//离散化,用于获取 x值->排名k 的关系
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sort(b, b + n);
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// bl:去重后的长度
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bl = unique(b, b + n) - b;
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/*
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测试用例:
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7
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3 1 2 1 8 5 6
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*/
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for (int i = 0; i < n; i++) {
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puts("==============================================");
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printf("i:%d a[i]=%d\n", i, a[i]);
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int k = get(a[i]); // a[i]的排名k
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printf("rank:%d rank-1:%d\n", k, k - 1);
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int t = query(k - 1) + 1;
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printf("LIS[rank-1]:%d ", t - 1);
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printf("LIS[rank]:%d\n", t);
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res = max(res, t);
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update(k, t); //第k大的数,会接在第k-1大的数后面,才会获取到更大的连续LIS值
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puts("FenWickTree:");
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for (int i = 1; i <= bl; i++) printf("%d ", c[i]);
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puts("");
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}
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return 0;
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} |