HDU 1160 FatMouse's Speed (sort + dp)

时间:2023-02-09 06:09:36

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1160

给你一些老鼠的体重和速度,问你最多需要几只可以证明体重越重速度越慢,并输出任意一组答案。

结构体按照体重从小到大排序,然后根据速度就是最长下降子序列。

 //#pragma comment(linker, "/STACK:102400000, 102400000")
#include <algorithm>
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
#include <vector>
#include <cmath>
#include <ctime>
#include <list>
#include <set>
#include <map>
using namespace std;
typedef long long LL;
typedef pair <int, int> P;
const int N = ;
struct Mouse {
int fat, run, id;
bool operator <(const Mouse& cmp) const {
if(fat == cmp.fat)
return run > cmp.run;
return fat < cmp.fat;
}
}a[N];
int dp[N];
int pre[N], ans[N]; int main()
{
int f = ;
while(scanf("%d %d", &a[f].fat, &a[f].run) != EOF) {
a[f].id = f;
f++;
}
for(int i = ; i <= f; ++i) {
pre[i] = i;
}
sort(a + , a + f);
memset(dp, , sizeof(dp));
int Max = , pos = ;
for(int i = ; i < f; ++i) {
dp[i] = ;
for(int j = ; j < i; ++j) {
if(a[i].fat > a[j].fat && a[i].run < a[j].run) {
if(dp[j] + > dp[i]) {
pre[a[i].id] = a[j].id;
dp[i] = dp[j] + ;
}
}
}
if(dp[i] > Max) {
pos = a[i].id;
Max = dp[i];
}
}
printf("%d\n", Max);
int i = pos, cnt = ;
for(i = pos; i != pre[i]; i = pre[i]) {
ans[++cnt] = i;
}
ans[++cnt] = i;
for(i = cnt; i >= ; --i) {
printf("%d\n", ans[i]);
}
return ;
}