#include <bits/stdc++.h>
#define int long long
#define inf (1 << 30)
#define ld long double
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("Ofast")
using namespace std;
const int N = 513;
int a[N], b[N], s[N];
int id_x[N], id_y[N];
int vid_x[N], vid_y[N];
struct Pair{
int a, b, id;
Pair() = default;
Pair(int _a, int _b, int _i) : a(_a), b(_b), id(_i){};
};
vector<Pair> vp;
long double dp[2][N][N];
int cnt[N][N];
int n, K;
long double f(int l){
for(int i = 0; i < n; i++){
s[i + 1] = s[i] + a[id_x[i]];
}
long double ans = inf;
for(int i = 0; i <= n; i++){
for(int j = 0; j <= n; j++){
for(int k = 0; k <= n; k++){
dp[i % 2][j][k] = inf;
}
}
if(i == 0) dp[0][0][0] = 0;
for(int j = 0; j <= n; j++){
if(i + j - cnt[i][j] > K) continue;
for(int k = 0; k <= l; k++){
if(i > 0){
if(vid_y[id_x[i - 1]] < j){
dp[i % 2][j][k] = min(dp[i % 2][j][k], dp[(i + 1) % 2][j][k]);
}else{
dp[i % 2][j][k] = min(dp[i % 2][j][k], dp[(i + 1) % 2][j][k] + (ld) a[id_x[i - 1]] / (k + 1));
}
}
if(j > 0){
if(vid_x[id_y[j - 1]] < i){
dp[i % 2][j][k] = min(dp[i % 2][j][k], dp[i % 2][j - 1][k]);
}else{
if(k > 0 && b[id_y[j - 1]] != inf){
dp[i % 2][j][k] = min(dp[i % 2][j][k], dp[i % 2][j - 1][k - 1] + (ld) b[id_y[j - 1]] / k);
}
}
}
}
if(i + j - cnt[i][j] == K){
ans = min(ans, dp[i % 2][j][l]);
}
}
}
return ans;
}
int32_t main(){
cin.tie(0); cout.tie(0);
ios_base::sync_with_stdio(false);
cin >> n >> K;
for(int i = 0; i < n; i++){
cin >> a[i] >> b[i];
b[i] = (b[i] == -1) ? inf : b[i];
vp.push_back({a[i], b[i], i});
}
sort(vp.begin(), vp.end(), [](Pair x, Pair y){
return x.a < y.a || x.a == y.a && x.b < y.b;
});
for(int i = 0; i < n; i++){
id_x[i] = vp[i].id;
vid_x[vp[i].id] = i;
}
sort(vp.begin(), vp.end(), [](Pair x, Pair y){
return x.b < y.b || x.b == y.b && x.a < y.a;
});
for(int i = 0; i < n; i++){
id_y[i] = vp[i].id;
vid_y[vp[i].id] = i;
}
for(int i = 0; i < n; i++){
cnt[vid_x[i] + 1][vid_y[i] + 1] = 1;
}
for(int i = 1; i <= n; i++){
for(int j = 1; j <= n; j++){
cnt[i][j] = cnt[i - 1][j] + cnt[i][j - 1] + cnt[i][j] - cnt[i - 1][j - 1];
}
}
int lb = 0, rb = K;
while(rb - lb > 2){
int m = (rb + lb) / 2;
ld f1 = f(m), f2 = f(m + 1);
if(f1 > f2){
lb = m;
}else{
rb = m + 1;
}
}
ld ans = min(min(f(lb), f((rb + lb) / 2)), f(rb));
cout << fixed << setprecision(15) << ans << endl;
}
Compilation message
Main.cpp: In lambda function:
Main.cpp:77:34: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
77 | return x.a < y.a || x.a == y.a && x.b < y.b;
| ~~~~~~~~~~~^~~~~~~~~~~~
Main.cpp: In lambda function:
Main.cpp:86:34: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
86 | return x.b < y.b || x.b == y.b && x.a < y.a;
| ~~~~~~~~~~~^~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Execution timed out |
2580 ms |
10324 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Execution timed out |
2580 ms |
10324 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
2572 ms |
10324 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Execution timed out |
2580 ms |
10324 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |