Submission #235505

#TimeUsernameProblemLanguageResultExecution timeMemory
235505dooweyHolding (COCI20_holding)C++14
110 / 110
992 ms45176 KiB
#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; }
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