Submission #5522

# Submission time Handle Problem Language Result Execution time Memory
5522 2014-05-05T12:24:46 Z gs12117 Split the sequence (APIO14_sequence) C++
100 / 100
620 ms 86328 KB
#include<stdio.h>
int n,m;
int a[100100];
long long int b[100100];
long long int dp[100100];
long long int ndp[100100];
int cutp[210][100100];
int deq[100100];
int cut[210];
int qs,qe;
int main(){
    int i,j,k;
    scanf("%d%d",&n,&m);
    for(i=0;i<n;i++){
        scanf("%d",&a[i]);
        b[i+1]=b[i]+a[i];
    }
    for(i=0;i<=n;i++){
        dp[i]=b[i]*b[i];
    }
    for(i=0;i<m;i++){
        ndp[0]=0;
        deq[0]=0;
        qs=0;
        qe=1;
        for(j=1;j<=n;j++){
            while(qs+1<qe&&dp[deq[qs]]+(b[j]-b[deq[qs]])*(b[j]-b[deq[qs]])>=dp[deq[qs+1]]+(b[j]-b[deq[qs+1]])*(b[j]-b[deq[qs+1]]))qs++;
            ndp[j]=dp[deq[qs]]+(b[j]-b[deq[qs]])*(b[j]-b[deq[qs]]);
            cutp[i+1][j]=deq[qs];
            while(qs+1<qe&&((long double)b[j]-b[deq[qe-1]])*(dp[deq[qe-1]]+b[deq[qe-1]]*b[deq[qe-1]]-dp[deq[qe-2]]-b[deq[qe-2]]*b[deq[qe-2]])>=((long double)b[deq[qe-1]]-b[deq[qe-2]])*(dp[j]+b[j]*b[j]-dp[deq[qe-1]]-b[deq[qe-1]]*b[deq[qe-1]]))qe--;
            deq[qe]=j;
            qe++;
        }
        for(j=0;j<=n;j++){
            dp[j]=ndp[j];
        }
    }
    printf("%lld\n",(b[n]*b[n]-dp[n])/2);
    j=n;
    for(i=m-1;i>=0;i--){
        j=cutp[i+1][j];
        cut[i]=j;
    }
    for(i=0;i<m;i++){
        printf("%d ",cut[i]);
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 86328 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 86328 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 86328 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 86328 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 86328 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 36 ms 86328 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 86328 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 36 ms 86328 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 36 ms 86328 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 40 ms 86328 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 20 ms 86328 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 32 ms 86328 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 44 ms 86328 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 20 ms 86328 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 12 ms 86328 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 380 ms 86328 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 86328 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 620 ms 86328 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 408 ms 86328 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 416 ms 86328 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 292 ms 86328 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 336 ms 86328 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 384 ms 86328 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845