제출 #48638

#제출 시각아이디문제언어결과실행 시간메모리
48638faishol27수열 (APIO14_sequence)C++14
50 / 100
145 ms5764 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> pl; typedef pair<int, int> pi; #define fi first #define se second const int MAXN = 1e3+5; const int MAXK = 205; // f(x,y) = score // x = pemotongan ke-x // y = indeks pemotongan // // int N, K; ll data[MAXN], pref[MAXN], suff[MAXN]; ll dp[MAXK][MAXN], ans=0; int tambah[MAXK][MAXN]; stack<int>putus; void init(){ memset(data, 0, MAXN); memset(pref, 0, MAXN); memset(suff, 0, MAXN); memset(dp, -1, sizeof dp); memset(tambah, -1, sizeof tambah); for(int i=0;i<MAXN;i++) dp[0][i] = 0, tambah[0][i] = 0; for(int i=0;i<MAXK;i++) dp[i][0] = 0, tambah[i][0] = 0; } int main(){ init(); cin >> N >> K; for(int i=1;i<=N;i++){ cin >> data[i]; pref[i] = data[i]+pref[i-1]; } for(int i=N;i>0;i--){ suff[i] = suff[i+1]+data[i]; } for(int j=1;j<N;j++){ ll tmp = pref[j]*suff[j+1]; //cout << j << " " << tmp << endl; if(dp[1][j] <= tmp){ dp[1][j] = tmp; tambah[1][j] = 0; } } for(int i=2; i<=K; i++){ for(int j=1;j<N;j++){ if(j < i) continue; for(int l=0;l<j;l++){ ll tmp = dp[i-1][l]+(pref[j]-pref[l])*suff[j+1]; if(dp[i][j] <= tmp){ dp[i][j] = tmp; tambah[i][j] = l; } } } } for(int i=1;i<N;i++) ans = max(ans, dp[K][i]); int nxt, cnt = K; for(int i=N-1;i>0;i--){ if(ans == dp[cnt][i]){ putus.push(i); nxt = tambah[cnt][i]; cnt--; break; } } while(nxt != 0){ putus.push(nxt); nxt = tambah[cnt][nxt]; cnt--; } /* for(int i=1;i<=K;i++){ for(int j=1;j<N;j++) cout << tambah[i][j] << " "; cout << endl; } */ cout << ans << endl; cout << putus.top(); putus.pop(); while(!putus.empty()){ cout << " " << putus.top(); putus.pop(); } cout << endl; }
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