Submission #23470

# Submission time Handle Problem Language Result Execution time Memory
23470 2017-05-09T18:53:39 Z rubabredwan Split the sequence (APIO14_sequence) C++14
0 / 100
1189 ms 87960 KB
/* Bismillahir Rahmanir Rahim */
 
#include <bits/stdc++.h>
 
using namespace std;
 
const int N = 100005;
const int K = 205;
 
long long M[N], B[N], I[N];
int idx, ptr;
 
bool bad(int a, int b, int c){
    return (B[a] - B[b]) * (M[c] - M[a]) >= (B[a] - B[c]) * (M[b] - M[a]);
}
 
void add(long long m, long long b, int i){
    ++idx;
    M[idx] = m;
    B[idx] = b;
    I[idx] = i;
    while(idx >= 3 && bad(idx-2, idx-1, idx)){
        M[idx-1] = M[idx];
        B[idx-1] = B[idx];
        I[idx-1] = I[idx];
        idx--;
    }
}
 
inline long long query(long long x){
    if(ptr > idx) ptr = idx;
    while(ptr + 1 <= idx && M[ptr+1] * x + B[ptr+1] > M[ptr] * x + B[ptr]){
        ++ptr;
    }
    return M[ptr] * x + B[ptr];
}
 
long long A[N], sum[N], cur[N], past[N];
int nxt[N][K];
int n, k;
int marked[N];
 
int main(){
    scanf("%d %d", &n, &k);
    for(int i=1;i<=n;i++){
        scanf("%lld", &A[i]);
        sum[i] = sum[i-1] + A[i];
    }
    for(int j=1;j<=k;j++){
        idx = 0, ptr = 0;
        add(sum[1], -(sum[1] * sum[1]), 1);
        for(int i=2;i<=n;i++){
            cur[i] = query(sum[i]);
            nxt[i][j] = I[ptr];
            add(sum[i], -(sum[i] * sum[i]) + past[i], i);
        }
        for(int i=1;i<=n;i++) past[i] = cur[i];
    }
    cout << cur[n] << endl;
    int cr = n, lf = k;
    while(lf){
        cr = nxt[cr][lf];
        marked[cr] = 1;
        lf -= 1;
    }
    int left = k;
    for(int i=1;i<=n;i++) left -= marked[i];
    for(int i=1;i<=n;i++){
        if(!marked[i] && left) marked[i] = 1, left--;
        if(marked[i]) printf("%d ", i);
    }
    cout << endl;
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:44:27: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &n, &k);
                           ^
sequence.cpp:46:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", &A[i]);
                             ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 87960 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 87960 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 87960 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 87960 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Incorrect 0 ms 87960 KB contestant didn't find the optimal answer: 0 < 1
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 87960 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 87960 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 87960 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 87960 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 87960 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 87960 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Incorrect 0 ms 87960 KB declared answer doesn't correspond to the split scheme: declared = 0, real = 65670
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 87960 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 87960 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 87960 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 87960 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 87960 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 87960 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Incorrect 0 ms 87960 KB declared answer doesn't correspond to the split scheme: declared = 0, real = 18364225
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 87960 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 87960 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 3 ms 87960 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 87960 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 0 ms 87960 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 3 ms 87960 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 3 ms 87960 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Incorrect 3 ms 87960 KB declared answer doesn't correspond to the split scheme: declared = 0, real = 4775671650
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 87960 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 87960 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 73 ms 87960 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 87960 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 49 ms 87960 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 53 ms 87960 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 53 ms 87960 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Incorrect 46 ms 87960 KB declared answer doesn't correspond to the split scheme: declared = 0, real = 18424961489
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 49 ms 87960 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 46 ms 87960 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1189 ms 87960 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 43 ms 87960 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 816 ms 87960 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 723 ms 87960 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 639 ms 87960 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Incorrect 963 ms 87960 KB declared answer doesn't correspond to the split scheme: declared = 0, real = 184497461489
9 Halted 0 ms 0 KB -