제출 #7658

#제출 시각아이디문제언어결과실행 시간메모리
7658imsifile수열 (APIO14_sequence)C++98
33 / 100
8 ms25720 KiB
#include<stdio.h> #include<deque> #define sq(a) ((a)*(a)) #define sik(l) ((l.b)-(l.a)*ba[i]) using namespace std; typedef long long lld; struct lin { int ix; lld a, b; // -ax+b }im; deque<lin> dq; int n, k, di[10010][202]; lld ba[100100], dy[10010][202]; int main(){ int i, j, t=1; scanf("%d%d", &n, &k); for(i=1; i<=n; i++){ scanf("%lld", &ba[i]), ba[i]+=ba[i-1]; dy[i][0]=sq(ba[i]); } for(j=1; j<=k; j++){ im.a=2*ba[j], im.b=dy[j][j-1]+sq(ba[j]), im.ix=j; dq.push_back(im); for(i=1; i<=n; i++)dy[i][t]=0; for(i=j+1; i<=n; i++){ for(; dq.size()>=2;){ if(sik(dq[0])<sik(dq[1]))break; dq.pop_front(); } di[i][j]=dq[0].ix, dy[i][j]=sq(ba[i])+sik(dq[0]); im.ix=i, im.a=2*ba[i], im.b=dy[i][j-1]+sq(ba[i]); // for(; dq.size();){ // if(dq[dq.size()-1].b<im.b)break; // dq.pop_back(); // } dq.push_back(im); } dq.clear(); t=1-t; } printf("%lld\n", (sq(ba[n])-dy[n][k])/2); for(i=n, j=k; j>0; j--)printf("%d ", di[i][j]), i=di[i][j]; return 0; }
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