#include "bits/stdc++.h"
#define st first
#define nd second
using lint = long long;
constexpr int MOD = int(1e9) + 7;
constexpr int INF = 0x3f3f3f3f;
constexpr int NINF = 0xcfcfcfcf;
constexpr lint LINF = 0x3f3f3f3f3f3f3f3f;
const long double PI = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;
//21+18+14 pts
lint dp[102][100002];
lint a[100002];
lint max_suf[100002], min_dp_menos1[100002], min_dp_mais_max[100002];
int n, k;
void init(){
for(int qtd = 0; qtd <= k; qtd++)
for(int i=0; i<=n; i++)
dp[qtd][i] = LINF;
dp[0][0] = 0;
}
lint naive_max(int i, int j){
lint val = a[i];
for(int k=i; k<= j; k++)
val = max(val, a[k]);
return val;
}
void print(int qtd, int i){
//cout<<"dp["<<qtd<<"]["<<i<<"] = "<<dp[qtd][i]<<"\n";
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
cin>>n>>k;
init();
for(int i=1; i<= n; i++)
cin>>a[i];
for(int qtd=1; qtd <=k; qtd++){
max_suf[0] = a[1];
if(qtd == 1)
min_dp_menos1[0] = 0;
else
min_dp_menos1[0] = LINF;
min_dp_mais_max[0] = min_dp_menos1[0] + max_suf[0];
// 0 -- i
for(int i=1; i <= n; i++){
for(int j = i-1; j >=0; j--)
dp[qtd][i] = min(dp[qtd][i], min_dp_mais_max[j]);
print(qtd, i);
max_suf[i] = a[i + 1];
min_dp_menos1[i] = dp[qtd-1][i];
min_dp_mais_max[i] = min_dp_menos1[i] + max_suf[i];
for(int j = i-1; j >=0; j--){
max_suf[j] = max(max_suf[j], max_suf[j+1]);
min_dp_menos1[j] = min(min_dp_menos1[j], min_dp_menos1[j+1]);
min_dp_mais_max[j] = min_dp_menos1[j] + max_suf[j];
min_dp_mais_max[j] = min(min_dp_mais_max[j], min_dp_mais_max[j+1]);
}
}
}
cout<<dp[k][n]<<"\n";
return 0;
}
/*
[ ]Leu o problema certo???
[ ]Ver se precisa de long long
[ ]Viu o limite dos fors (é n? é m?)
[ ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[ ]Testar sample
[ ]Testar casos de borda
[ ]1LL no 1LL << i
[ ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/
| # |
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 |
1 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 |
0 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
0 ms |
340 KB |
Output is correct |
| 12 |
Correct |
0 ms |
340 KB |
Output is correct |
| 13 |
Correct |
0 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
0 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
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 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
0 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
0 ms |
340 KB |
Output is correct |
| 12 |
Correct |
0 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
0 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
0 ms |
340 KB |
Output is correct |
| 17 |
Correct |
0 ms |
340 KB |
Output is correct |
| 18 |
Correct |
0 ms |
340 KB |
Output is correct |
| 19 |
Correct |
0 ms |
340 KB |
Output is correct |
| 20 |
Correct |
0 ms |
468 KB |
Output is correct |
| # |
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 |
1 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 |
0 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
0 ms |
340 KB |
Output is correct |
| 12 |
Correct |
0 ms |
340 KB |
Output is correct |
| 13 |
Correct |
0 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
0 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
0 ms |
340 KB |
Output is correct |
| 20 |
Correct |
0 ms |
340 KB |
Output is correct |
| 21 |
Correct |
0 ms |
340 KB |
Output is correct |
| 22 |
Correct |
0 ms |
340 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
0 ms |
340 KB |
Output is correct |
| 25 |
Correct |
0 ms |
340 KB |
Output is correct |
| 26 |
Correct |
0 ms |
340 KB |
Output is correct |
| 27 |
Correct |
0 ms |
340 KB |
Output is correct |
| 28 |
Correct |
0 ms |
340 KB |
Output is correct |
| 29 |
Correct |
0 ms |
340 KB |
Output is correct |
| 30 |
Correct |
0 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
340 KB |
Output is correct |
| 32 |
Correct |
0 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
0 ms |
340 KB |
Output is correct |
| 35 |
Correct |
0 ms |
340 KB |
Output is correct |
| 36 |
Correct |
0 ms |
340 KB |
Output is correct |
| 37 |
Correct |
0 ms |
340 KB |
Output is correct |
| 38 |
Correct |
0 ms |
468 KB |
Output is correct |
| 39 |
Correct |
1 ms |
596 KB |
Output is correct |
| 40 |
Correct |
0 ms |
340 KB |
Output is correct |
| 41 |
Correct |
0 ms |
340 KB |
Output is correct |
| 42 |
Correct |
0 ms |
340 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| 44 |
Correct |
0 ms |
340 KB |
Output is correct |
| 45 |
Correct |
0 ms |
340 KB |
Output is correct |
| 46 |
Correct |
0 ms |
340 KB |
Output is correct |
| 47 |
Correct |
1 ms |
340 KB |
Output is correct |
| 48 |
Correct |
0 ms |
340 KB |
Output is correct |
| 49 |
Correct |
0 ms |
340 KB |
Output is correct |
| 50 |
Correct |
0 ms |
340 KB |
Output is correct |
| 51 |
Correct |
1 ms |
468 KB |
Output is correct |
| 52 |
Correct |
1 ms |
468 KB |
Output is correct |
| 53 |
Correct |
3 ms |
980 KB |
Output is correct |
| 54 |
Correct |
3 ms |
980 KB |
Output is correct |
| 55 |
Correct |
2 ms |
596 KB |
Output is correct |
| 56 |
Correct |
3 ms |
980 KB |
Output is correct |
| 57 |
Correct |
3 ms |
980 KB |
Output is correct |
| # |
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 |
1 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 |
0 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
0 ms |
340 KB |
Output is correct |
| 11 |
Correct |
0 ms |
340 KB |
Output is correct |
| 12 |
Correct |
0 ms |
340 KB |
Output is correct |
| 13 |
Correct |
0 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
0 ms |
340 KB |
Output is correct |
| 16 |
Correct |
0 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
0 ms |
340 KB |
Output is correct |
| 20 |
Correct |
0 ms |
340 KB |
Output is correct |
| 21 |
Correct |
0 ms |
340 KB |
Output is correct |
| 22 |
Correct |
0 ms |
340 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
0 ms |
340 KB |
Output is correct |
| 25 |
Correct |
0 ms |
340 KB |
Output is correct |
| 26 |
Correct |
0 ms |
340 KB |
Output is correct |
| 27 |
Correct |
0 ms |
340 KB |
Output is correct |
| 28 |
Correct |
0 ms |
340 KB |
Output is correct |
| 29 |
Correct |
0 ms |
340 KB |
Output is correct |
| 30 |
Correct |
0 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
340 KB |
Output is correct |
| 32 |
Correct |
0 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
0 ms |
340 KB |
Output is correct |
| 35 |
Correct |
0 ms |
340 KB |
Output is correct |
| 36 |
Correct |
0 ms |
340 KB |
Output is correct |
| 37 |
Correct |
0 ms |
340 KB |
Output is correct |
| 38 |
Correct |
0 ms |
468 KB |
Output is correct |
| 39 |
Correct |
1 ms |
596 KB |
Output is correct |
| 40 |
Correct |
0 ms |
340 KB |
Output is correct |
| 41 |
Correct |
0 ms |
340 KB |
Output is correct |
| 42 |
Correct |
0 ms |
340 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| 44 |
Correct |
0 ms |
340 KB |
Output is correct |
| 45 |
Correct |
0 ms |
340 KB |
Output is correct |
| 46 |
Correct |
0 ms |
340 KB |
Output is correct |
| 47 |
Correct |
1 ms |
340 KB |
Output is correct |
| 48 |
Correct |
0 ms |
340 KB |
Output is correct |
| 49 |
Correct |
0 ms |
340 KB |
Output is correct |
| 50 |
Correct |
0 ms |
340 KB |
Output is correct |
| 51 |
Correct |
1 ms |
468 KB |
Output is correct |
| 52 |
Correct |
1 ms |
468 KB |
Output is correct |
| 53 |
Correct |
3 ms |
980 KB |
Output is correct |
| 54 |
Correct |
3 ms |
980 KB |
Output is correct |
| 55 |
Correct |
2 ms |
596 KB |
Output is correct |
| 56 |
Correct |
3 ms |
980 KB |
Output is correct |
| 57 |
Correct |
3 ms |
980 KB |
Output is correct |
| 58 |
Execution timed out |
1083 ms |
2804 KB |
Time limit exceeded |
| 59 |
Halted |
0 ms |
0 KB |
- |
