# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
23161 | 2017-05-03T18:10:58 Z | ngkan146 | Split the sequence (APIO14_sequence) | C++ | 66 ms | 89064 KB |
#include <bits/stdc++.h> #define ll long long using namespace std; int n,k,a[100005]; vector <ll> dp[205]; int last[100005][205]; vector <ll> B; vector <int> M, ID; bool check(int id){ return (B[id] - B[id-2]) * (M[id-2] - M[id-1]) <= (B[id-1] - B[id-2]) * (M[id-2] - M[id]); } void add_line(ll slope,ll val,ll id){ M.push_back(slope); B.push_back(val); ID.push_back(id); while(M.size() >= 2 && M[M.size()-2] == M[M.size()-1]){ if (B[M.size()-2] <= B[M.size()-1]){ M.erase(M.end()-2); B.erase(B.end()-2); ID.erase(ID.end()-2); } else{ M.erase(M.end()-1); B.erase(B.end()-1); ID.erase(ID.end()-1); } } while(M.size() >= 3 && check(M.size()-1)) ID.erase(ID.end()-2), M.erase(M.end()-2), B.erase(B.end()-2); } int ctrl; ll get(ll x){ ctrl = min(ctrl, (int)M.size()-1); while(ctrl < M.size()-1 && M[ctrl] * x + B[ctrl] <= M[ctrl+1] * x + B[ctrl+1]) ++ctrl; return ctrl; } int main(){ scanf("%d %d",&n,&k); k++; for(int i=1;i<=n;i++) scanf("%d",&a[i]), a[i] += a[i-1]; dp[0].assign(n+5,-(ll) 1e18); dp[0][0] = 0; for(int t=1;t<=k;t++){ M.clear(); B.clear(); ID.clear(); add_line(0,0,0); if (t >= 2) dp[t-2].clear(); dp[t].assign(n+5,0); for(int i=1;i<=n;i++){ int id = get(a[i]); dp[t][i] = M[id] * a[i] + B[id]; last[i][t] = ID[id]; add_line(a[i], dp[t-1][i] - 1ll * a[i] * a[i], i); } } vector <int> res; int mjk = n; for(int t=k;t>1;t--){ res.push_back(last[mjk][t]); mjk = last[mjk][t]; } reverse(res.begin(),res.end()); printf("%lld\n",dp[k][n]); for(int i=0;i<res.size();i++) printf("%d ",res[i]); //cout << endl; for(int i=0;i<res.size();i++) cout << dp[i+1][res[i]] << ' '; } /* 7 3 4 1 3 4 0 2 3 */
Compilation message
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 108 == 108 |
2 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 999 == 999 |
3 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 0 == 0 |
4 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 1542524 == 1542524 |
5 | Incorrect | 0 ms | 82500 KB | Integer 0 violates the range [1, 9] |
6 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 1093956 == 1093956 |
2 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 302460000 == 302460000 |
3 | Incorrect | 0 ms | 82500 KB | Integer 0 violates the range [1, 49] |
4 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 610590000 == 610590000 |
2 | Correct | 0 ms | 82500 KB | contestant found the optimal answer: 311760000 == 311760000 |
3 | Incorrect | 0 ms | 82896 KB | Integer 0 violates the range [1, 199] |
4 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 82632 KB | contestant found the optimal answer: 21503404 == 21503404 |
2 | Correct | 0 ms | 82632 KB | contestant found the optimal answer: 140412195 == 140412195 |
3 | Incorrect | 6 ms | 84100 KB | Integer 0 violates the range [1, 999] |
4 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 3 ms | 83160 KB | declared answer doesn't correspond to the split scheme: declared = -2476288992, real = 1818678304 |
2 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 66 ms | 89064 KB | declared answer doesn't correspond to the split scheme: declared = -9626222975, real = 16143580801 |
2 | Halted | 0 ms | 0 KB | - |