답안 #252974

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
252974 2020-07-26T14:50:02 Z LifeHappen__ 수열 (APIO14_sequence) C++14
100 / 100
980 ms 85692 KB
#include <bits/stdc++.h>

using namespace std;

#define forinc(a, b, c) for(int a=b, _c=c; a<=_c; ++a)
#define fordec(a, b, c) for(int a=b, _c=c; a>=_c; --a)
#define forv(a, b) for(auto &a : b)
#define rep(i, n) forinc(i, 1, n)
#define repv(i, n) forinc(i, 0, n - 1)

#define ii pair<int,int>
#define fi first
#define se second
#define all(a) begin(a), end(a)
#define reset(f, x) memset(f, x, sizeof(f))
#define eb emplace_back
#define pb push_back

const int N=1e5+5;
long long n,a[N];
long long f[2][N];
int k;
int pre[202][N];
int top;
long long s[N],x[N];
struct line{long long x,y;int id;} li[N];
double q[N];
double G(line x,line y){return 1.0*(x.y-y.y)/(y.x-x.x);}
bool ok(line p){
    if(p.x==li[top].x) return false;
    if(top==1) return 1;
    double x1=G(p,li[top]);
    double x2=G(p,li[top-1]);
    return x1>x2;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    if(fopen("input.txt", "r")) freopen("input.txt", "r", stdin);
    cin>>n>>k;
    forinc(i,1,n) cin>>a[i], s[i]=s[i-1]+a[i];
    fordec(i,n,1) x[i]=x[i+1]+a[i];
    forinc(i,1,k){
        int u=i&1;
        top=0;
        li[++top]={s[i-1],f[u^1][i-1],i-1};
        q[top]=-1e15;
        forinc(j,i,n-1){
            int l=1, r=top, z=0;
            while(l<=r) {
                int mid=l+(r-l)/2;
                if(q[mid]<=-x[j+1]) z=mid, l=mid+1;
                else r=mid-1;
            }
            f[u][j]=s[j]*x[j+1]-li[z].x*x[j+1]+li[z].y;
            pre[i][j]=li[z].id;
            line uu;
            uu.x=s[j], uu.y=f[u^1][j], uu.id=j;
            if(uu.x==li[top].x && uu.y>=li[top].y) continue;
            while(top && !ok(uu)) top--;
            li[++top]=uu;
            if(top>1) q[top]=G(li[top],li[top-1]);
        }
    }
    int now=0;
    forinc(i,1,n-1) if(f[k&1][now]<=f[k&1][i]) now=i;
    cout<<f[k&1][now]<<'\n';
    vector<int> ans; ans.pb(now);
    fordec(i,k,2) ans.pb(pre[i][now]), now=pre[i][now];
    reverse(all(ans));
    forv(v, ans) cout<<v<<' ';
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:40:40: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     if(fopen("input.txt", "r")) freopen("input.txt", "r", stdin);
                                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 512 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 512 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2176 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 1152 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 1152 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 9808 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 1152 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 54 ms 6264 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 72 ms 7160 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 76 ms 7548 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 60 ms 6392 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 58 ms 7160 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 77 ms 8952 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 7928 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 22 ms 7936 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 792 ms 85692 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 8568 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 980 ms 85016 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 853 ms 61688 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 788 ms 66240 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 727 ms 55176 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 653 ms 61944 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 835 ms 77560 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845