Submission #41664

# Submission time Handle Problem Language Result Execution time Memory
41664 2018-02-20T11:04:18 Z TAMREF Split the sequence (APIO14_sequence) C++11
100 / 100
1364 ms 85444 KB
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef pair<ll,int> pli;
 
const int mx = 100005;
const ll inf = 2e18;
 
//struct CHT{
    ll A[mx], B[mx];
    int I[mx];
    int p, sz;
    pli query(ll x){
        while(p + 1 < sz && (A[p+1] - A[p]) * x <= B[p] - B[p+1]) ++p;
        return {A[p] * x + B[p], I[p]};
    }
    void insert(ll a, ll b, int i){
        A[sz] = a;
        B[sz] = b;
        I[sz] = i;
        while(p+1<sz && (B[sz] - B[sz-2]) * (A[sz-1] - A[sz]) >= (A[sz-2] - A[sz])* (B[sz] - B[sz-1])){
            A[sz-1] = A[sz];
            B[sz-1] = B[sz];
            I[sz-1] = I[sz];
            --sz;
        }
        ++sz;
    }
    void clear(){
        sz = p = 0;
    }
//} C;
 
int a[mx], S[mx];
int n, k;
ll D[mx][2];
int bck[mx][205];
 
void input(){
    scanf("%d%d",&n,&k);
    for(int i = 1; i <= n; i++){
        scanf("%d",&S[i]);
        S[i] += S[i-1];
    }
}
 
void fucking_cht(){
    for(int i = 1; i <= n; i++) D[i][0] = inf;
    for(int l = 1, w = 1; l <= k + 1; l++, w ^= 1){
        //printf("\n#####lev = %d#####\n",l);
        clear();
        insert(0,0,0);
        for(int i = l-1; i <= n; i++){
            if(i >= l){
                pli p = query(S[i]);
                D[i][w] = p.first + (ll)S[i] * S[i];
                bck[i][l] = p.second;
                //printf("S[%d] = %d, D[%d][%d] = %lld, bck[%d][%d] = %d\n",i,S[i],i,l,D[i][w],i,l,bck[i][l]);
            }
            if(D[i][!w] != inf) insert(-2LL * S[i], D[i][!w] + (ll)S[i] * S[i], i);
        }
    }
 
    printf("%lld\n",((ll)S[n] * S[n] - D[n][(k+1)&1])/2);
 
    stack<int> trace;
    for(int i = k+1, now = n; i >= 1; i--){
        trace.push(bck[now][i]);
        now = bck[now][i];
    }
    trace.pop();
    for(int i=0;i<k;i++){
        printf("%d ",trace.top());
        trace.pop();
    }
}
 
int main(){
    input();
    fucking_cht();
}

Compilation message

sequence.cpp: In function 'void input()':
sequence.cpp:41:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d",&n,&k);
                        ^
sequence.cpp:43:26: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d",&S[i]);
                          ^
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 540 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 540 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 540 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 540 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 540 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 560 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 580 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 584 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 588 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 592 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 652 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 656 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 664 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 680 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 688 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 688 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 692 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 696 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 700 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 704 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 708 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 712 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 716 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 720 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 724 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 860 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 864 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 868 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 872 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 876 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 880 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 884 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 888 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 892 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1536 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1540 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1672 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1672 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 1672 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 1672 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 1672 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 1672 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1672 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1672 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 9140 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 8 ms 9160 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 9308 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 10 ms 9360 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 46 ms 9360 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 52 ms 9432 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 57 ms 9456 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 9496 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 59 ms 9540 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 77 ms 9540 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 103 ms 85020 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 98 ms 85020 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1127 ms 85332 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 98 ms 85332 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1138 ms 85332 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 829 ms 85332 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 965 ms 85332 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1072 ms 85444 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1249 ms 85444 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1364 ms 85444 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845