답안 #241774

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
241774 2020-06-25T13:02:17 Z nicolaalexandra 수열 (APIO14_sequence) C++14
100 / 100
672 ms 84348 KB
#include <bits/stdc++.h>
#define DIM 100001
#define DIMK 201
#define INF 2000000000
using namespace std;

struct dreapta{
    long long a,b;
} w[DIM];

int v[DIM],fth[DIM][DIMK],d[DIM];
long long dp[DIM][2],sp[DIM];
vector <int> sol;
int n,k,i,j,p,u;

/*int intersectie (dreapta c, dreapta b, dreapta a){
    return (a.b - c.b) * (a.a - b.a) < (b.b - a.b) * (c.a - a.a);
}*/
long double intersectie (dreapta a, dreapta b){
    if (a.a == b.a)
        return INF;
    return 1.0 * (a.b - b.b) / (b.a - a.a);
}

long long f (long long a, long long b, long long x){
    return a*x + b;
}

int main (){

    //ifstream cin ("date.in");
    //ofstream cout ("date.out");

    cin>>n>>k;
    for (i=1;i<=n;i++){
        cin>>v[i];
        sp[i] = sp[i-1] + v[i];
    }

    for (i=1;i<n;i++)
        dp[i][1] = sp[i] * (sp[n] - sp[i]);

    int t = 0;
    for (j=2;j<=k;j++){
        p = 1, u = 0;
        for (i=j;i<=n;i++){

            w[i-1].a = sp[i-1], w[i-1].b = dp[i-1][1-t] - sp[i-1] * sp[n];


            while (u > p && intersectie(w[d[u]],w[d[u-1]]) > intersectie(w[d[u-1]],w[i-1]))
                u--;
            d[++u] = i-1;

            while (p < u && f (w[d[p]].a,w[d[p]].b,sp[i]) <= f (w[d[p+1]].a,w[d[p+1]].b,sp[i]))
                p++;


            dp[i][t] = sp[i] * sp[n] - sp[i] * sp[i] + f (w[d[p]].a,w[d[p]].b,sp[i]);
            fth[i][j] = d[p];

        }
        t = 1-t;
    }

    int x, y = k;
    long long maxi = -1;
    for (i=1;i<=n;i++)
        if (dp[i][1-t] > maxi)
            maxi = dp[i][1-t], x = i;

    cout<<maxi<<"\n";

    sol.push_back(x);
    while (x){
        sol.push_back(fth[x][y]);
        x = fth[x][y];
        y--;
    }

    for (i=sol.size()-2;i>=0;i--)
        cout<<sol[i]<<" ";

    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 432 KB contestant found the optimal answer: 933702 == 933702
7 Correct 4 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 1152 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 1152 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1280 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1280 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8704 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 8704 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 51 ms 8704 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 12 ms 8704 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 44 ms 8824 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 47 ms 8704 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 51 ms 8704 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 39 ms 8704 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 46 ms 8704 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 54 ms 8704 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 69 ms 83832 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 68 ms 83832 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 592 ms 84348 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 81 ms 84220 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 672 ms 83852 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 485 ms 83960 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 564 ms 84336 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 418 ms 84216 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 484 ms 83960 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 592 ms 83960 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845