# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
106461 | 2019-04-18T14:32:05 Z | nxteru | Split the sequence (APIO14_sequence) | C++14 | 116 ms | 132096 KB |
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef double D; typedef pair<ll,ll> P; #define M 1000000007 #define F first #define S second #define PB push_back #define INF 1000000000000000000 struct t{ ll x,y,q; }; bool check(t a,t b,t c){ return D(c.y-b.y)/D(b.x-c.x)<=D(b.y-a.y)/D(a.x-b.x); } ll n,m,s[100005],dp[205][100005],b[205][100005],l,r; t dq[100005]; vector<int>ans; int main(void){ scanf("%lld%lld",&n,&m); m++; for(int i=1;i<=n;i++){ ll a; scanf("%lld",&a); s[i]=s[i-1]+a; } for(int i=0;i<=m;i++)for(int j=0;j<=n;j++)dp[i][j]=INF; dp[0][0]=0; for(int i=1;i<=m;i++){ l=0,r=0; for(int j=1;j<=n;j++){ if(dp[i-1][j-1]<INF){ t p=t{-2LL*s[j-1],s[j-1]*s[j-1]+dp[i-1][j-1],j-1}; while(r-2>=l&&check(dq[r-2],dq[r-1],p))r--; dq[r++]=p; while(l+1<r&&dq[l].x*s[j]+dq[l].y>=dq[l+1].x*s[j]+dq[l+1].y)l++; } if(l<r){ b[i][j]=dq[l].q; dp[i][j]=dq[l].x*s[j]+dq[l].y+s[j]*s[j]; } } } printf("%lld\n",(s[n]*s[n]-dp[m][n])/2LL); int x=n; for(int i=m;i>1;i--){ ans.PB(b[i][x]); x=b[i][x]; } for(int i=ans.size()-1;i>=0;i--){ printf("%d",ans[i]); if(i==0)printf("\n"); else printf(" "); } }
Compilation message
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 108 == 108 |
2 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 999 == 999 |
3 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 0 == 0 |
4 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 1542524 == 1542524 |
5 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 4500000000 == 4500000000 |
6 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 1 == 1 |
7 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 1 == 1 |
8 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 1 == 1 |
9 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 100400096 == 100400096 |
10 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 900320000 == 900320000 |
11 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 3698080248 == 3698080248 |
12 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 3200320000 == 3200320000 |
13 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 140072 == 140072 |
14 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 376041456 == 376041456 |
15 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 805 == 805 |
16 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 900189994 == 900189994 |
17 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 999919994 == 999919994 |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 1093956 == 1093956 |
2 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 302460000 == 302460000 |
3 | Correct | 3 ms | 896 KB | contestant found the optimal answer: 122453454361 == 122453454361 |
4 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 93663683509 == 93663683509 |
5 | Correct | 2 ms | 512 KB | contestant found the optimal answer: 1005304678 == 1005304678 |
6 | Correct | 2 ms | 384 KB | contestant found the optimal answer: 933702 == 933702 |
7 | Correct | 3 ms | 640 KB | contestant found the optimal answer: 25082842857 == 25082842857 |
8 | Correct | 3 ms | 512 KB | contestant found the optimal answer: 687136 == 687136 |
9 | Correct | 2 ms | 512 KB | contestant found the optimal answer: 27295930079 == 27295930079 |
10 | Correct | 3 ms | 512 KB | contestant found the optimal answer: 29000419931 == 29000419931 |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 610590000 == 610590000 |
2 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 311760000 == 311760000 |
3 | Correct | 5 ms | 3072 KB | contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 | Correct | 3 ms | 384 KB | contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 | Correct | 4 ms | 2304 KB | contestant found the optimal answer: 1019625819 == 1019625819 |
6 | Correct | 4 ms | 2816 KB | contestant found the optimal answer: 107630884 == 107630884 |
7 | Correct | 5 ms | 3072 KB | contestant found the optimal answer: 475357671774 == 475357671774 |
8 | Correct | 3 ms | 1024 KB | contestant found the optimal answer: 193556962 == 193556962 |
9 | Correct | 3 ms | 768 KB | contestant found the optimal answer: 482389919803 == 482389919803 |
10 | Correct | 4 ms | 1152 KB | contestant found the optimal answer: 490686959791 == 490686959791 |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 2 ms | 512 KB | contestant found the optimal answer: 21503404 == 21503404 |
2 | Correct | 2 ms | 512 KB | contestant found the optimal answer: 140412195 == 140412195 |
3 | Correct | 10 ms | 5632 KB | contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 | Correct | 3 ms | 512 KB | contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 | Correct | 9 ms | 5632 KB | contestant found the optimal answer: 679388326 == 679388326 |
6 | Incorrect | 8 ms | 4864 KB | contestant didn't find the optimal answer: 4699030135 < 4699030287 |
7 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 5 ms | 1408 KB | contestant found the optimal answer: 1818678304 == 1818678304 |
2 | Correct | 5 ms | 1408 KB | contestant found the optimal answer: 1326260195 == 1326260195 |
3 | Correct | 55 ms | 34168 KB | contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 | Correct | 5 ms | 1408 KB | contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 | Correct | 51 ms | 20956 KB | contestant found the optimal answer: 1085432199 == 1085432199 |
6 | Incorrect | 51 ms | 24312 KB | contestant didn't find the optimal answer: 514786325281 < 514790755404 |
7 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 25 ms | 10620 KB | contestant found the optimal answer: 19795776960 == 19795776960 |
2 | Correct | 24 ms | 10504 KB | contestant found the optimal answer: 19874432173 == 19874432173 |
3 | Runtime error | 116 ms | 132096 KB | Execution killed with signal 9 (could be triggered by violating memory limits) |
4 | Halted | 0 ms | 0 KB | - |