답안 #200366

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
200366 2020-02-06T12:04:08 Z nvmdava 수열 (APIO14_sequence) C++17
100 / 100
1365 ms 81144 KB
#include <bits/stdc++.h>
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define ll long long
#define ff first
#define ss second
#define N 100001
#define MOD 1000000007

ll p[N];

ll dp[N][2];
int ans[N][200];
int t;
void dnc(int l, int r, int optl, int optr){
    if(l > r) return;
    int m = (l + r) >> 1;

    int be = optl;
    dp[m][1] = dp[be][0] + (p[m] - p[be]) * (p[m] - p[be]);
    int lim = min(optr, m - 1);
    for(int i = optl + 1; i <= lim; ++i){
        ll w = dp[i][0] + (p[m] - p[i]) * (p[m] - p[i]);
        if(dp[m][1] >= w){
            dp[m][1] = w;
            be = i;
        }
    }
    ans[m][t] = be;
    dnc(l, m - 1, optl, be);
    dnc(m + 1, r, be, optr);
}


int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int n, k;
    cin>>n>>k;

    for(int i = 1; i <= n; ++i){
        cin>>p[i];
        p[i] += p[i - 1];
    }
    for(int i = 1; i <= n; ++i)
        dp[i][0] = p[i] * p[i];
    
    for(t = 0; t < k; ++t){
        dnc(1, n, 0, n - 1);
        for(int j = 1; j <= n; ++j)
            swap(dp[j][0], dp[j][1]);
    }
    cout<<(p[n] * p[n] - dp[n][0]) / 2<<'\n';
    for(int i = k - 1; i >= 0; i--){
        n = ans[n][i];
        cout<<n<<' ';
    }
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 380 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 380 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 504 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 504 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 504 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 504 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 504 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 504 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 504 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 1144 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 1144 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 1144 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 1144 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1144 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1144 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 1144 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 1144 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 1144 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 8368 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 12 ms 8440 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 75 ms 8440 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 8440 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 61 ms 8440 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 59 ms 8440 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 78 ms 8568 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 53 ms 8440 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 58 ms 8440 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 73 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 62 ms 81016 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 63 ms 80904 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1232 ms 81056 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 62 ms 81016 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1365 ms 81020 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 860 ms 81144 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1051 ms 81144 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 822 ms 81016 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 880 ms 81012 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1177 ms 81016 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845