Submission #908423

# Submission time Handle Problem Language Result Execution time Memory
908423 2024-01-16T12:03:30 Z roimu Balloons (CEOI11_bal) C++14
30 / 100
498 ms 11300 KB
//include
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <fstream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <string>
#include <cstring>
#include <ctime>
#include <climits>
#include <limits>
#include <assert.h>

using namespace std;

typedef long long LL;
//constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int INF = (int)1000000007;
const LL MOD = (LL)1000000007;//10^9+7
const LL INF2 = (LL)100000000000000000;//10^18

bool f(pair<long double, long double> a, pair<long double, long double> b) {

	long double bound = a.first;
	long double two = 2.000000000000000;
	bound += a.second * two;
	return b.first >= bound;
}

long double dist(pair<long double, long double> a, pair<long double, long double> b) {
	long double four = 4.0000000000000000;
	return (a.first - b.first)*(a.first - b.first) / four / a.second;
}

int main() {
	int n; cin >> n;
	vector<pair<long double, long double>> a(n);
	for (int i = 0; i < n; i++) {
		cin >> a[i].first >> a[i].second;
	}

	vector<long double> ans(n);
	ans[0] = a[0].second;
	stack<pair<long double, long double>> st;
	st.push(a[0]);
	for (int i = 1; i < n; i++) {
		long double rnow = 100000000000.0;
		//小さいうちは潰し続ける、潰したときの半径を覚えておく
		while (!st.empty() and f(st.top(),a[i])) {
			rnow = min(rnow, dist(st.top(), a[i]));
			st.pop();
		}

		if (!st.empty()) {
			rnow = min(rnow, dist(st.top(), a[i]));
		}
		rnow = min(rnow, a[i].second);
		ans[i] = rnow;
		st.push({ a[i].first,rnow });
	}

	for (int i = 0; i < n; i++) {
		cout << fixed << setprecision(3) << ans[i] << endl;
	}

	return 0;
}

/*
2
0 2
20 10

*/
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB 10 numbers
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB 2 numbers
# Verdict Execution time Memory Grader output
1 Correct 2 ms 344 KB 505 numbers
# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 348 KB 504th numbers differ - expected: '160.9360000000', found: '163.0000000000', error = '2.0640000000'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 48 ms 1508 KB 653rd numbers differ - expected: '96.2810000000', found: '123.0000000000', error = '26.7190000000'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 119 ms 3156 KB 50000 numbers
2 Incorrect 130 ms 2976 KB 49903rd numbers differ - expected: '443977872.4679999948', found: '1000000000.0000000000', error = '556022127.5320000648'
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 242 ms 5920 KB 14857th numbers differ - expected: '7169.6020000000', found: '7176.0000000000', error = '6.3980000000'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 276 ms 6852 KB 23610th numbers differ - expected: '1467.9600000000', found: '1471.0000000000', error = '3.0400000000'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 372 ms 9248 KB 12335th numbers differ - expected: '4957.2960000000', found: '4967.0000000000', error = '9.7040000000'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 498 ms 11300 KB 7553rd numbers differ - expected: '198.8980000000', found: '220.0000000000', error = '21.1020000000'
2 Halted 0 ms 0 KB -