Submission #337490

# Submission time Handle Problem Language Result Execution time Memory
337490 2020-12-21T02:13:57 Z tjrwodnjs999 Split the sequence (APIO14_sequence) C++11
100 / 100
709 ms 85356 KB
#include <bits/stdc++.h>
#define ll long long
#define x first
#define y second
using namespace std;
int n,m,arr[100005],pv[100005][205];
ll DP[100005][2],sum[100005];
struct cht{
    int s=0,e=0,num[100005];
    pair<ll,ll> p[100005];
    void clear(){
        s=0,e=0;
    }
    double cross(pair<ll,ll> a,pair<ll,ll> b){
        return 1.0*(a.y-b.y)/(b.x-a.x);
    }
    ll f(ll a,ll b){
        return p[a].x*b+p[a].y;
    }
    pair<ll,ll> qry(ll x){
        while(s+1<e&&cross(p[s],p[s+1])<=x) s++;
        return {f(s,x),num[s]};
    }
    void udt(ll a,ll b,int k){
        p[e]={a,b}; num[e]=k;
        while(s<e&&p[e-1].x==p[e].x&&p[e-1].y<=p[e].y){
            p[e-1]=p[e],num[e-1]=num[e],e--;
        }
        while(s+1<e&&cross(p[e-2],p[e-1])>=cross(p[e-1],p[e])) num[e-1]=num[e],p[e-1]=p[e],e--;
        e++;
    }
} cht;
int main()
{
    scanf("%d%d",&n,&m);
    for(int i=1;i<=n;i++) scanf("%lld",arr+i),sum[i]=sum[i-1]+arr[i];
    for(int j=1;j<=m;j++){
        cht.clear();
        for(int i=1;i<=n;i++){
            pair<ll,int> qry=cht.qry(sum[i]);
            DP[i][j%2]=qry.x; pv[i][j]=qry.y;
            cht.udt(sum[i],-sum[i]*sum[i]+DP[i][(j+1)%2],i);
        }
    }
    printf("%lld\n",DP[n][m%2]);
    function<void (int,int)> solve =  [&](int a,int b){
        if(b==0) return;
        solve(pv[a][b],b-1);
        printf("%d ",pv[a][b]);
        return;
    };
    solve(n,m);
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:36:37: warning: format '%lld' expects argument of type 'long long int*', but argument 2 has type 'int*' [-Wformat=]
   36 |     for(int i=1;i<=n;i++) scanf("%lld",arr+i),sum[i]=sum[i-1]+arr[i];
      |                                  ~~~^  ~~~~~
      |                                     |     |
      |                                     |     int*
      |                                     long long int*
      |                                  %d
sequence.cpp:35:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   35 |     scanf("%d%d",&n,&m);
      |     ~~~~~^~~~~~~~~~~~~~
sequence.cpp:36:32: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   36 |     for(int i=1;i<=n;i++) scanf("%lld",arr+i),sum[i]=sum[i-1]+arr[i];
      |                           ~~~~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1900 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 1900 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 1900 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 1900 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 1900 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1900 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1900 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1900 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1900 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1900 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1900 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1900 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1900 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1900 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1900 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1900 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1900 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1900 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 1900 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 1920 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1900 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 1900 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1900 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 1900 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 1900 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1900 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 1900 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2028 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 2028 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2028 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2028 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 2028 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 2028 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 2028 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 2028 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 2156 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 2028 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2796 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 2796 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2796 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 2796 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 2796 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 2796 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2796 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2796 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2796 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 2796 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 10220 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 10220 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 52 ms 10348 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 10348 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 43 ms 10348 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 44 ms 10220 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 54 ms 10220 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 38 ms 10240 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 48 ms 10348 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 52 ms 10220 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 59 ms 85228 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 58 ms 85228 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 589 ms 85228 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 60 ms 85228 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 709 ms 85228 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 482 ms 85352 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 554 ms 85308 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 412 ms 85356 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 444 ms 85228 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 552 ms 85228 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845