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Submission #235505

# Submission time Handle Problem Language Result Execution time Memory
235505 2020-05-28T11:44:44 Z doowey Holding (COCI20_holding) C++14
110 / 110
 992 ms 45176 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int N = 102;
const int S = (int)2e4 + 100;
const int M = S/2;
const int inf = (int)1e9;

int dpL[2][N][S]; // pick i items, indice sum j
int dpR[2][N][S];
int a[N];
int li[N][S];
int ri[N][S];

void upd(int &a, int b){  
  a = min(a, b);
}

int main(){
  fastIO;
  int n, l, r, k;
  cin >> n >> l >> r >> k;
  for(int q = 0; q < 2; q ++ ){
    for(int d = 0; d <= n; d ++ ){
      for(int s = 0; s < S; s ++ ){
        dpL[q][d][s] = inf;
        dpR[q][d][s] = inf;
      }
    }
  }
  dpL[0][0][M]=0;
  int ans = 0;
  for(int i = 1; i <= n; i ++ ){
    cin >> a[i];
    if(i >= l && i <= r) ans += a[i];
  }
  for(int i = 1; i <= r; i ++ ){
    for(int j = 0 ; j <= n ; j ++ ){
      for(int x = 0; x < S ; x ++ ){
        if(i < l){
          if(dpL[0][j][x] == inf) continue;
          dpL[1][j + 1][x - i] = min(dpL[1][j + 1][x - i], dpL[0][j][x] + a[i]);
          dpL[1][j][x] = min(dpL[1][j][x], dpL[0][j][x]);
        }
        else{
          if(dpL[0][j][x] == inf) continue;
          if(j) dpL[1][j - 1][x + i] = min(dpL[1][j - 1][x + i], dpL[0][j][x]);
          dpL[1][j][x] = min(dpL[1][j][x], dpL[0][j][x] + a[i]);
        }
      }
    }
    for(int j = 0 ; j <= n; j ++ ){
      for(int x = 0 ; x < S; x ++ ){
        dpL[0][j][x]=dpL[1][j][x];
        dpL[1][j][x]=inf;
      }
    }
    for(int x = 0; x < S; x ++ ){
      li[i][x]=dpL[0][0][x];
    }
  }
  for(int x = 0 ;x <= k; x ++ ){
    if(li[r][M + x] == 0){
      ans = min(ans, li[r][M + x]);
    }
  }
  for(int x = 0; x <= k ; x ++ ){
    ans = min(ans, li[r][x + M]);
  }
  dpR[0][0][M]=0;
  for(int i = n; i >= l ; i -- ){
    for(int j = 0 ; j <= n; j ++ ){
      for(int x = 0; x < S; x ++ ){
        if(dpR[0][j][x] == inf) continue;
        if(i > r){
          dpR[1][j + 1][x + i] =min(dpR[1][j + 1][x + i], dpR[0][j][x] + a[i]);
          dpR[1][j][x] = min(dpR[1][j][x], dpR[0][j][x]);
        }
        else{
          if(j) dpR[1][j - 1][x - i] = min(dpR[1][j - 1][x - i], dpR[0][j][x]);
          dpR[1][j][x] = min(dpR[1][j][x], dpR[0][j][x] + a[i]);
        }
      }
    }
    for(int j = 0 ; j <= n; j ++ ){
      for(int x = 0; x < S; x ++ ){
        dpR[0][j][x]=dpR[1][j][x];
        dpR[1][j][x]=inf;
      }
    }
    for(int x = 0 ; x < S; x ++ ){
      ri[i][x]=dpR[0][0][x];
    }
  }
  for(int x = 0; x <= k ; x ++ ){
    ans = min(ans, ri[l][x + M]);
  }
  for(int i = l ; i + 1 <= r; i ++ ){
    for(int x = 0; x <= k; x ++ ){
      if(li[i][x + M] == inf) continue;
      for(int y = 0; x + y <= k; y ++ ){
        if(ri[i + 1][y + M] == inf) continue;
        ans = min(ans, li[i][x + M] + ri[i + 1][y + M]);
      }
    }
  }
  cout << ans << "\n";
  return 0;
}

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2816 KB Output is correct
2 Correct 17 ms 6400 KB Output is correct
3 Correct 18 ms 6784 KB Output is correct
4 Correct 18 ms 6784 KB Output is correct
5 Correct 19 ms 6656 KB Output is correct
6 Correct 20 ms 6784 KB Output is correct
7 Correct 17 ms 6016 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2816 KB Output is correct
2 Correct 17 ms 6400 KB Output is correct
3 Correct 18 ms 6784 KB Output is correct
4 Correct 18 ms 6784 KB Output is correct
5 Correct 19 ms 6656 KB Output is correct
6 Correct 20 ms 6784 KB Output is correct
7 Correct 17 ms 6016 KB Output is correct
8 Correct 122 ms 21428 KB Output is correct
9 Correct 133 ms 21624 KB Output is correct
10 Correct 142 ms 22264 KB Output is correct
11 Correct 154 ms 22776 KB Output is correct
12 Correct 157 ms 23544 KB Output is correct
13 Correct 200 ms 22464 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2816 KB Output is correct
2 Correct 17 ms 6400 KB Output is correct
3 Correct 18 ms 6784 KB Output is correct
4 Correct 18 ms 6784 KB Output is correct
5 Correct 19 ms 6656 KB Output is correct
6 Correct 20 ms 6784 KB Output is correct
7 Correct 17 ms 6016 KB Output is correct
8 Correct 122 ms 21428 KB Output is correct
9 Correct 133 ms 21624 KB Output is correct
10 Correct 142 ms 22264 KB Output is correct
11 Correct 154 ms 22776 KB Output is correct
12 Correct 157 ms 23544 KB Output is correct
13 Correct 200 ms 22464 KB Output is correct
14 Correct 96 ms 20472 KB Output is correct
15 Correct 112 ms 20708 KB Output is correct
16 Correct 112 ms 20984 KB Output is correct
17 Correct 114 ms 20984 KB Output is correct
18 Correct 127 ms 21496 KB Output is correct
19 Correct 214 ms 22520 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2816 KB Output is correct
2 Correct 17 ms 6400 KB Output is correct
3 Correct 18 ms 6784 KB Output is correct
4 Correct 18 ms 6784 KB Output is correct
5 Correct 19 ms 6656 KB Output is correct
6 Correct 20 ms 6784 KB Output is correct
7 Correct 17 ms 6016 KB Output is correct
8 Correct 122 ms 21428 KB Output is correct
9 Correct 133 ms 21624 KB Output is correct
10 Correct 142 ms 22264 KB Output is correct
11 Correct 154 ms 22776 KB Output is correct
12 Correct 157 ms 23544 KB Output is correct
13 Correct 200 ms 22464 KB Output is correct
14 Correct 96 ms 20472 KB Output is correct
15 Correct 112 ms 20708 KB Output is correct
16 Correct 112 ms 20984 KB Output is correct
17 Correct 114 ms 20984 KB Output is correct
18 Correct 127 ms 21496 KB Output is correct
19 Correct 214 ms 22520 KB Output is correct
20 Correct 433 ms 40952 KB Output is correct
21 Correct 375 ms 40440 KB Output is correct
22 Correct 401 ms 40824 KB Output is correct
23 Correct 436 ms 40184 KB Output is correct
24 Correct 575 ms 45176 KB Output is correct
25 Correct 992 ms 44088 KB Output is correct