/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 3000+100, M = 1e5+10, K = 52, MX = 30;
int n, a[N];
ll pref[N];
pair<double, double> dp[N][N];
pair<double, double> comp(pair<double, double> x, pair<double, double> y){
if(x.second - x.first < y.second - y.first) return x;
return y;
}
void solve(){
cin >> n;
for(int i = 1; i <= n; ++i) cin >> a[i];
pref[0] = 0;
for(int i = 1; i <= n; ++i) pref[i] = pref[i - 1] + a[i];
for(int i = 0; i <= n + 1; ++i) for(int j = 0; j <= n + 1; ++j) dp[i][j] = {-1e18, 1e18};
dp[1][n] = {pref[n] / (double) n, pref[n] / (double) n};
for(int sz = n - 1; sz >= 0; --sz){
for(int l = 1; l <= n; ++l){
int r = l + sz - 1;
if(r>n) break;
double pos = (pref[r] - pref[l - 1]) / (double)(r-l+1);
pair<double, double> v = {min(pos, dp[l][r + 1].first), max(pos, dp[l][r + 1].second)};
pair<double, double> p = {min(pos, dp[l - 1][r].first), max(pos, dp[l - 1][r].second)};
dp[l][r] = comp(v, p);
}
}
pair<double, double> ans = {-1e18, 1e18};
for(int i = 1; i <= n; ++i) ans = comp(ans, dp[i][i]);
cout << fixed << setprecision(15);
cout << ans.second - ans.first;
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
en;
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
Compilation message
seesaw.cpp: In function 'int main()':
seesaw.cpp:45:15: warning: unused variable 'aa' [-Wunused-variable]
45 | int tt = 1, aa;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Incorrect |
1 ms |
6644 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Incorrect |
1 ms |
6644 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Incorrect |
1 ms |
6644 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |