#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-2;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-2;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 505
int N, K;
int A[MAX], B[MAX];
double dp[2][MAX][MAX];
int cost[MAX][MAX];
void process(void){
cin >> N >> K;
for (int i = 1; i <= N; ++i){
cin >> A[i] >> B[i];
if(B[i] == -1) B[i] = 1e18;
}
vector<int> order(N);
iota(order.begin(), order.end(), 1);
sort(order.begin(), order.end(), [&](int &i, int &j){
return B[i] < B[j];
});
vector<int> vals;
FOR(i, 0, N - 1) FOR(j, 0, K) cost[i][j] = 1e18;
for (int i = N - 1; i >= 0; --i){
vals.push_back(A[order[i]]);
sort(vals.begin(), vals.end());
int sm = 0;
for (int j = 0; j < (int)vals.size(); ++j){
sm += vals[j];
cost[i][j + 1] = sm;
}
}
FOR(j, 0, K) FOR(k, 0, K) dp[0][j][k] = dp[1][j][k] = 1e15;
double ans = cost[0][K];
dp[0][0][0] = 0;
for (int i = 0; i < N; ++i){
for (int j = 0; j <= K; ++j){
for (int k = 0; k <= K; ++k){
dp[1][j][k] = 1e15;
}
}
for (int j = 0; j <= K; ++j){
for (int k = 0; k <= K; ++k){
minimize(dp[1][j][k], dp[0][j][k]);
if(j > 0)
minimize(dp[1][j][k], dp[0][j - 1][k] + (double)A[order[i]] / (double)(k + 1));
if(j > 0 && k > 0)
minimize(dp[1][j][k], dp[0][j - 1][k - 1] + (double)B[order[i]] / (double)(k));
int need = K - j;
if(N - i - 1 >= need)
minimize(ans, dp[1][j][k] + (double)cost[i + 1][need] / (double)(k + 1));
}
}
swap(dp[0], dp[1]);
}
cout << setprecision(10) << fixed << ans;
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
109 ms |
6440 KB |
Output is correct |
6 |
Correct |
133 ms |
6424 KB |
Output is correct |
7 |
Correct |
273 ms |
6236 KB |
Output is correct |
8 |
Correct |
411 ms |
6236 KB |
Output is correct |
9 |
Correct |
624 ms |
6480 KB |
Output is correct |
10 |
Correct |
363 ms |
6236 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
109 ms |
6440 KB |
Output is correct |
6 |
Correct |
133 ms |
6424 KB |
Output is correct |
7 |
Correct |
273 ms |
6236 KB |
Output is correct |
8 |
Correct |
411 ms |
6236 KB |
Output is correct |
9 |
Correct |
624 ms |
6480 KB |
Output is correct |
10 |
Correct |
363 ms |
6236 KB |
Output is correct |
11 |
Correct |
3 ms |
4440 KB |
Output is correct |
12 |
Correct |
164 ms |
6448 KB |
Output is correct |
13 |
Correct |
150 ms |
6236 KB |
Output is correct |
14 |
Correct |
149 ms |
6236 KB |
Output is correct |
15 |
Correct |
375 ms |
6236 KB |
Output is correct |
16 |
Correct |
388 ms |
6236 KB |
Output is correct |
17 |
Correct |
377 ms |
6232 KB |
Output is correct |
18 |
Correct |
615 ms |
6448 KB |
Output is correct |
19 |
Correct |
624 ms |
6428 KB |
Output is correct |
20 |
Correct |
616 ms |
6480 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4440 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
4 ms |
4440 KB |
Output is correct |
6 |
Correct |
6 ms |
4444 KB |
Output is correct |
7 |
Correct |
4 ms |
4444 KB |
Output is correct |
8 |
Correct |
4 ms |
4440 KB |
Output is correct |
9 |
Incorrect |
4 ms |
4444 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4440 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
4 ms |
4440 KB |
Output is correct |
6 |
Correct |
6 ms |
4444 KB |
Output is correct |
7 |
Correct |
4 ms |
4444 KB |
Output is correct |
8 |
Correct |
4 ms |
4440 KB |
Output is correct |
9 |
Incorrect |
4 ms |
4444 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4440 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
4 ms |
4440 KB |
Output is correct |
6 |
Correct |
6 ms |
4444 KB |
Output is correct |
7 |
Correct |
4 ms |
4444 KB |
Output is correct |
8 |
Correct |
4 ms |
4440 KB |
Output is correct |
9 |
Incorrect |
4 ms |
4444 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
631 ms |
6236 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
109 ms |
6440 KB |
Output is correct |
6 |
Correct |
133 ms |
6424 KB |
Output is correct |
7 |
Correct |
273 ms |
6236 KB |
Output is correct |
8 |
Correct |
411 ms |
6236 KB |
Output is correct |
9 |
Correct |
624 ms |
6480 KB |
Output is correct |
10 |
Correct |
363 ms |
6236 KB |
Output is correct |
11 |
Correct |
3 ms |
4440 KB |
Output is correct |
12 |
Correct |
164 ms |
6448 KB |
Output is correct |
13 |
Correct |
150 ms |
6236 KB |
Output is correct |
14 |
Correct |
149 ms |
6236 KB |
Output is correct |
15 |
Correct |
375 ms |
6236 KB |
Output is correct |
16 |
Correct |
388 ms |
6236 KB |
Output is correct |
17 |
Correct |
377 ms |
6232 KB |
Output is correct |
18 |
Correct |
615 ms |
6448 KB |
Output is correct |
19 |
Correct |
624 ms |
6428 KB |
Output is correct |
20 |
Correct |
616 ms |
6480 KB |
Output is correct |
21 |
Correct |
3 ms |
4440 KB |
Output is correct |
22 |
Correct |
4 ms |
4440 KB |
Output is correct |
23 |
Correct |
3 ms |
4444 KB |
Output is correct |
24 |
Correct |
4 ms |
4444 KB |
Output is correct |
25 |
Correct |
4 ms |
4440 KB |
Output is correct |
26 |
Correct |
6 ms |
4444 KB |
Output is correct |
27 |
Correct |
4 ms |
4444 KB |
Output is correct |
28 |
Correct |
4 ms |
4440 KB |
Output is correct |
29 |
Incorrect |
4 ms |
4444 KB |
Output isn't correct |
30 |
Halted |
0 ms |
0 KB |
- |