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CF4D Mysterious Present 二维偏序+dp

热度:29   发布时间:2024-02-24 23:39:20.0

题目

求一个二维的严格递增序列。我们先排个序,然后再dp严格递增子序列,记录一下是从哪里转移过来的。然后再递归输出路径即可。

#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
const int INF = 0x3f3f3f3f;
const double Pi = acos(-1);
namespace {
    template <typename T> inline void read(T &x) {
    x = 0;T f = 1;char s = getchar();for(; !isdigit(s); s = getchar()) if(s == '-') f = -1;for(;  isdigit(s); s = getchar()) x = (x << 3) + (x << 1) + (s ^ 48);x *= f;}
}
#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define _for(n,m,i) for (register int i = (n); i < (m); ++i)
#define _rep(n,m,i) for (register int i = (n); i <= (m); ++i)
#define _srep(n,m,i)for (register int i = (n); i >= (m); i--)
#define _sfor(n,m,i)for (register int i = (n); i > (m); i--)
#define lson rt << 1, l, mid
#define rson rt << 1 | 1, mid + 1, r
#define lowbit(x) x & (-x)
#define pii pair<int,int>
#define fi first
#define se second
const int N = 5e3+5;
struct node {
    int w, h, id;bool operator < (const node &x) const {
    return w == x.w ? h < x.h : w < x.w;}
} e[N];
int dp[N], pos[N];
void print(int x) {
    if(!x) return ;print(pos[x]);printf("%d ", e[x].id);
}
int main() {
    int n, w, h, cnt = 0;read(n);read(w);read(h);for(int i = 1; i <= n; i++) {
    read(e[0].w);read(e[0].h);e[0].id = i;if(e[0].w > w  && e[0].h > h) e[++cnt] = e[0];}if(!cnt) return 0*puts("0");int ans = 0, st = 0;e[0].h = e[0].id = e[0].w = 0;sort(e + 1, e + cnt + 1);for(int i = 1; i <= cnt; i++)for(int j = 0; j < i; j++)if(e[i].w > e[j].w && e[i].h > e[j].h) {
    if(dp[i] < dp[j] + 1)dp[i] = dp[j]+1, pos[i] = j;if(dp[i] > ans)ans = dp[i], st = i;}printf("%d\n", ans);print(st);
}
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