oj.uz

Submission #247084

# Submission time Handle Problem Language Result Execution time Memory
247084 2020-07-11T03:14:28 Z rrrr10000 Split the sequence (APIO14_sequence) C++14
100 / 100
 1164 ms 91940 KB 
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n)  for(long long i=0;i<(long long)(n);i++)
#define REP(i,k,n) for(long long i=k;i<(long long)(n);i++)
#define all(a) a.begin(),a.end()
#define pb emplace_back
#define eb emplace_back
#define lb(v,k) (lower_bound(all(v),k)-v.begin())
#define ub(v,k) (upper_bound(all(v),k)-v.begin())
#define fi first
#define se second
#define pi M_PI
#define PQ(T) priority_queue<T>
#define SPQ(T) priority_queue<T,vector<T>,greater<T>>
#define dame(a) {out(a);return 0;}
#define decimal cout<<fixed<<setprecision(15);
#define dupli(a) a.erase(unique(all(a)),a.end())
typedef long long ll;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> PP;
typedef tuple<ll,ll,ll,ll> PPP;
typedef multiset<ll> S;
using vi=vector<ll>;
using vvi=vector<vi>;
using vvvi=vector<vvi>;
using vvvvi=vector<vvvi>;
using vp=vector<P>;
using vvp=vector<vp>;
using vb=vector<bool>;
using vvb=vector<vb>;
const ll inf=1001001001001001001;
const ll INF=1001001001;
const ll mod=1000000007;
const double eps=1e-10;
template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;}
template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;}
template<class T> void out(T a){cout<<a<<'\n';}
template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';}
template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';}
template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);}
template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}
template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);}
template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);}
template<class T> void yesno(T b){if(b)out("yes");else out("no");}
template<class T> void YesNo(T b){if(b)out("Yes");else out("No");}
template<class T> void YESNO(T b){if(b)out("YES");else out("NO");}
template<class T> void noyes(T b){if(b)out("no");else out("yes");}
template<class T> void NoYes(T b){if(b)out("No");else out("Yes");}
template<class T> void NOYES(T b){if(b)out("NO");else out("YES");}
void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);}
ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);}
ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;}
vector<PP> cht;
ll id=0;
void add(ll a,ll b,ll c){
    // out(a);out(b);out(c);
    while(cht.size()){
        if(get<0>(cht.back())==a){
            if(b<=get<2>(cht.back()))return;
            cht.pop_back();
        }
        else break;
    }
    while(cht.size()>1){
        auto p=cht[cht.size()-2],q=cht.back();
        if((a-get<0>(q))*(b-get<1>(p))>(get<1>(q)-b)*(get<0>(p)-a))break;
        cht.pop_back();
    }
    cht.eb(a,b,c);
}
P getma(ll x){
    while(id<cht.size()-1){
        if(get<0>(cht[id])*x+get<1>(cht[id])>get<0>(cht[id+1])*x+get<1>(cht[id+1]))break;
        id++;
    }
    return P(get<0>(cht[id])*x+get<1>(cht[id]),get<2>(cht[id]));
}
int main(){
    ll n,k;cin>>n>>k;
    k++;
    vi v(n);
    rep(i,n)cin>>v[i];
    vi rui(n+1);
    rep(i,n)rui[i+1]=rui[i]+v[i];
    vector<vector<int>> memo(n+1,vector<int>(k+1));
    vi dp(n+1,-inf);
    dp[0]=0;
    REP(j,1,k+1){
        vi ndp(n+1,-inf);
        REP(i,1,n+1){
            if(dp[i-1]!=-inf)add(rui[i-1],dp[i-1]-rui[i-1]*rui[i-1],i-1);
            if(cht.size()){
                auto t=getma(rui[i]);
                ndp[i]=t.fi;
                memo[i][j]=t.se;
            }
        }
        cht=vector<PP>(0);
        id=0;
        dp=ndp;
    }
    /*REP(i,1,n+1)REP(j,1,k+1){
        rep(t,i)if(chmax(dp[i][j],dp[t][j-1]+rui[t]*(rui[i]-rui[t])))memo[i][j]=t;
    }*/
    out(dp[n]);
    ll j=n;
    vi ans;
    for(int i=k;i>1;i--){
        j=memo[j][i];
        ans.pb(j);
    }
    reverse(all(ans));outv(ans);
}

Compilation message

sequence.cpp: In function 'P getma(ll)':
sequence.cpp:72:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(id<cht.size()-1){
           ~~^~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 256 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 256 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 308 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 256 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 256 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 256 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 256 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 256 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 256 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 256 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 256 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 256 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 256 KB contestant found the optimal answer: 999919994 == 999919994

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 256 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 ms 256 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 ms 256 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 384 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 256 KB contestant found the optimal answer: 29000419931 == 29000419931

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 4 ms 384 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 5 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 384 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 384 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 384 KB contestant found the optimal answer: 490686959791 == 490686959791

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 1152 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 1280 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 13 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 640 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 768 KB contestant found the optimal answer: 12345131038664 == 12345131038664

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 1544 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 8 ms 1536 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 105 ms 9532 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 10 ms 1824 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 55 ms 6152 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 67 ms 6916 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 89 ms 7648 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 6572 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 71 ms 7196 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 87 ms 8840 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798

Subtask #6
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 13840 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 49 ms 13840 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1154 ms 91940 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 62 ms 14992 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1164 ms 91052 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 493 ms 65512 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 889 ms 73024 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 674 ms 61808 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 786 ms 67928 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1010 ms 83684 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845