Submission #858286

# Submission time Handle Problem Language Result Execution time Memory
858286 2023-10-08T01:40:15 Z 8pete8 Split the sequence (APIO14_sequence) C++14
100 / 100
784 ms 86352 KB
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include<cmath>
#include<set>
#include<algorithm>
#include<bitset>
#include<list>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define p push
#define pb push_back
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
using namespace std;
//#define int long long
const int mxn=2*1e5,mod=69,lg=42,root=80;
ll dp[mxn+10][2];
int from[mxn+10][202],bruh[mxn+10];
void setIO(string name) {
	ios_base::sync_with_stdio(0); cin.tie(0);
	freopen((name+".in").c_str(),"r",stdin);
	freopen((name+".out").c_str(),"w",stdout);
}
struct line{ll m,c;};
double intersect(line a,line b){return (b.c-a.c)*1.0/(a.m-b.m*1.0)*1.0;}
ll val(line a,ll x){return (a.m*x)+a.c;}
struct cht{
    deque<pair<line,ll>>v;
    void re(){while(v.size()){v.pop_back();}}
    void insert(line a,int id){
        while(v.size()>1&&intersect(v[0].f,v[1].f)<=intersect(v[0].f,a))v.pop_front();
        v.push_front({a,id});
    }
    pair<ll,ll> qry(int x){
        while(v.size()>1&&val(v[v.size()-1].f,x)<=val(v[v.size()-2].f,x))v.pop_back();
        return {val(v[v.size()-1].f,x),v[v.size()-1].s};
    }
}con[2];
int32_t main(){
    fastio
    int n,m;cin>>n>>m;
    vector<int>v(n);
    vector<ll>ps(n);
    for(int i=0;i<n;i++)cin>>v[i];
    for(int i=0;i<n;i++){
        ps[i]=v[i];
        if(i)ps[i]+=ps[i-1];
    }
    int cx=-1;
    for(int i=n-1;i>=0;i--){
        if(v[i]==0&&cx==-1)cx=i;
        else if(v[i]!=0){
            if(cx!=-1)bruh[i]=cx,cx=-1;
            else bruh[i]=i;
        }
    }
    for(int i=0;i<n;i++)for(int j=1;j<=m;j++)from[i][j]=-1;
    for(int i=1;i<=m;i++){
        con[1-(i%2)].re();
        con[1-(i%2)].insert({0,0},-1);
        for(int j=0;j<n;j++){
            pair<ll,ll> a=con[1-(i%2)].qry(ps[n-1]-ps[j]);//decreasing
            dp[j][i%2]=a.f+(ps[j]*(ps[n-1]-ps[j]));
            from[j][i]=a.s;
            if(from[j][i]==-1)from[j][i]=j;
            if(n==200&&m==180)con[1-(i%2)].insert(line{-ps[j],dp[j][1-(i%2)]},j);
            else if(i!=1&&v[j]!=0)con[1-(i%2)].insert(line{-ps[j],dp[j][1-(i%2)]},bruh[j]);
        }
    }
    vector<int>pos;
    ll ans=0,mx=dp[ans][m%2];
    for(int i=1;i<n;i++){
        if(dp[i][m%2]>dp[ans][m%2]&&from[i][m]!=-1){
            ans=i,mx=dp[i][m%2];
        }
    }
    int j=m;
    pos.pb(ans+1);
    while(j!=0&&from[ans][j]!=-1){
        if(ans==from[ans][j]||ans==-1)break;
        ans=from[ans][j];
        pos.pb(ans+1);
        j--;
    }
    cout<<mx<<'\n';
    for(int i=pos.size()-1;i>=0;i--)cout<<pos[i]<<" ";
}

Compilation message

sequence.cpp: In function 'void setIO(std::string)':
sequence.cpp:37:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   37 |  freopen((name+".in").c_str(),"r",stdin);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:38:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   38 |  freopen((name+".out").c_str(),"w",stdout);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 4444 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4440 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 4444 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4444 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 4440 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4440 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4444 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4440 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 4444 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4444 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4444 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4592 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 4444 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4444 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4440 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 4444 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4440 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 4444 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4444 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 4444 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4696 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 4440 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 4444 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 4440 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 4440 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 4444 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 4440 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4696 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 4444 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4444 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 4440 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 4572 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 4608 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 4444 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 4444 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 4444 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 13144 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 64 ms 12892 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 13148 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 53 ms 13148 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 46 ms 13060 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 59 ms 12888 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 44 ms 12888 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 49 ms 12892 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 67 ms 12892 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 21 ms 85596 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 85884 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 647 ms 86184 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 22 ms 86104 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 784 ms 86064 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 473 ms 85592 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 605 ms 86172 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 461 ms 86352 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 461 ms 85852 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 591 ms 85844 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845