# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
110854 | 2019-05-12T15:13:16 Z | evpipis | Split the sequence (APIO14_sequence) | C++17 | 127 ms | 84040 KB |
#include <bits/stdc++.h> using namespace std; #define pb push_back #define fi first #define se second #define mp make_pair typedef long long ll; typedef pair<int, int> ii; typedef pair<ll, ll> pll; const ll inf = 1e18; const int len = 1e5+5; int arr[len], pos, pref[len], po[len][205]; ll dp[len]; vector<pll> vec; ll func(pll line, ll x){ return line.fi*x+line.se; } bool can(pll a, pll b, pll c){ return (double)(a.se-b.se)/(double)(b.fi-a.fi) >= (double)(b.se-c.se)/(double)(c.fi-b.fi); } void add(pll cur){ while (vec.size() >= 2 && can(vec[vec.size()-2], vec.back(), cur)) vec.pop_back(); vec.pb(cur); } pair<ll, int> query(ll x){ if (pos >= vec.size()) pos = vec.size()-1; while (pos+1 < vec.size() && func(vec[pos+1], x) > func(vec[pos], x)) pos++; return mp(func(vec[pos], x), vec[pos].fi); } int main(){ int n, k; scanf("%d %d", &n, &k), k++; for (int i = 1; i <= n; i++) scanf("%d", &arr[i]); for (int i = 1; i <= n; i++) pref[i] = pref[i-1]+arr[i]; for (int i = 1; i <= n; i++) dp[i] = -inf; for (int j = 1; j <= k; j++){ vec.clear(); pos = 0; add(mp(0, 0)); for (int i = 1; i <= n; i++){ pair<ll, int> ans = query(pref[i]); po[i][j] = ans.se; add(mp(pref[i], dp[i]-pref[i]*1LL*pref[i])); dp[i] = ans.fi; } } printf("%lld\n", dp[n]); int cur = n; for (int j = k, p = n; j > 1; j--){ while (pref[p] > po[cur][j]) p--; cur = p; printf("%d ", cur); } printf("\n"); return 0; }
Compilation message
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 3 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 | 2 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 | Incorrect | 2 ms | 384 KB | contestant didn't find the optimal answer: 0 < 1 |
7 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 3 ms | 384 KB | contestant didn't find the optimal answer: 252308 < 1093956 |
2 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 2 ms | 512 KB | Integer 0 violates the range [1, 199] |
2 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 3 ms | 1152 KB | Integer 0 violates the range [1, 999] |
2 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 12 ms | 8828 KB | contestant didn't find the optimal answer: 1187850 < 1818678304 |
2 | Halted | 0 ms | 0 KB | - |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Incorrect | 127 ms | 84040 KB | contestant didn't find the optimal answer: 5054352 < 19795776960 |
2 | Halted | 0 ms | 0 KB | - |