답안 #575339

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
575339 2022-06-10T08:34:57 Z handlename 수열 (APIO14_sequence) C++17
100 / 100
1092 ms 93812 KB
#include <bits/stdc++.h>
using namespace std;
deque<pair<long long,long long> > dq[201];
deque<int> id[201];
long long f(pair<long long,long long> line, long long x){
    return line.first*x + line.second;
}
pair<long long,int> qry(long long x,int num){
    while(dq[num].size()>1){
        if(f(dq[num][0],x)<f(dq[num][1],x)){
            dq[num].pop_front();
            id[num].pop_front();
        }
        else break; 
    }
    return make_pair(f(dq[num][0],x),id[num][0]);
}
long double intersect(long long m1, long long c1, long long m2, long long c2){
    return (long double)(c2-c1)/(m1-m2);
}
long double intersect(pair<long long,long long> p1, pair<long long,long long> p2){
    return intersect(p1.first,p1.second,p2.first,p2.second);
}
void ins(long long m,long long c,int index,int num) {//insert line y=mx+c
    pair<long long,long long> line=make_pair(m,c);
    while (dq[num].size()>1) {
        long long s=dq[num].size();
        if (intersect(dq[num][s-1],line)<=intersect(dq[num][s-2],line)){
            dq[num].pop_back();
            id[num].pop_back();
        }
        else break;
    }
    dq[num].push_back(line);
    id[num].push_back(index);
}
long long n,k;
long long arr[100001],pre[100001];
int dp[100001][201];
bool vis[100001];
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin>>n>>k;
    for (int i=1;i<=n;i++) cin>>arr[i];
    for (int i=1;i<=n;i++) pre[i]=pre[i-1]+arr[i];
    for (int i=0;i<=k;i++){
        ins(0,0,0,i);
    }
    long long ans=-1,pos=1;
    for (int i=1;i<n;i++){
        for (int j=k;j>=1;j--){
            pair<long long,int> cur=qry(pre[i]-pre[n],j-1);
            cur.first+=pre[i]*(pre[n]-pre[i]);
            //dp[x][j-1].first+(pre[i]-pre[x])*(pre[n]-pre[i]);
            ins(pre[i],cur.first,i,j);
            dp[i][j]=cur.second;
            assert(i!=cur.second);
            if (j==k){
                if (cur.first>=ans){
                    ans=cur.first;
                    pos=i;
                }
            }
        }
    }
    cout<<ans<<'\n';
    while (pos!=0 && k>0){
        cout<<pos<<' ';
        vis[pos]=true;
        pos=dp[pos][k];
        k--;
    }
    for (int i=1;i<n;i++){
        if (k==0) break;
        if (!vis[i]){
            cout<<i<<' ';
            k--;
        }
    }
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 596 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 596 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 596 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 600 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 604 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 596 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 604 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 596 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 588 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 604 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 596 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 596 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 596 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 596 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 596 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 600 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 596 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 596 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 596 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 596 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 596 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 596 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 604 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 604 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 608 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 600 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 596 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 724 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 728 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 980 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 728 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 856 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 852 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 860 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 732 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 724 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 724 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1368 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1620 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1496 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1496 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 1620 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 1616 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1492 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1492 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 8916 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 9056 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 87 ms 9984 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 9044 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 59 ms 9688 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 72 ms 9340 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 78 ms 9772 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 65 ms 9936 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 63 ms 9668 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 111 ms 9668 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 46 ms 83952 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 46 ms 84060 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 936 ms 93812 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 47 ms 85136 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1092 ms 91960 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 716 ms 87988 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 769 ms 92656 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 632 ms 91856 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 684 ms 91692 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 880 ms 92224 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845