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Bizon the Champion isn‘t just charming, he also is very smart.
While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n?×?m multiplication table, where the element on the intersection of the i-th row and j-th column equals i·j (the rows and columns of the table are numbered starting from 1). Then he was asked: what number in the table is the k-th largest number? Bizon the Champion always answered correctly and immediately. Can you repeat his success?
Consider the given multiplication table. If you write out all n·m numbers from the table in the non-decreasing order, then the k-th number you write out is called the k-th largest number.
The single line contains integers n, m and k (1?≤?n,?m?≤?5·105; 1?≤?k?≤?n·m).
Print the k-th largest number in a n?×?m multiplication table.
2 2 2
2
2 3 4
3
1 10 5
5
A 2?×?3 multiplication table looks like this:
1 2 3 2 4 6
思路：二分查找，统计每一行的结果
#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <cmath>
typedef long long ll;
using namespace std;
ll n, m, k;
int check(ll x) {
ll res = 0;
for (int i = 1; i <= n; i++) {
ll tmp = min(i*m, x);
res += tmp / i;
}
return res < k;
}
ll search(ll l, ll r) {
while (l < r) {
ll mid = (l + r) / 2;
if (check(mid))
l = mid + 1;
else r = mid;
}
return r;
}
int main() {
cin >> n >> m >> k;
ll Right = n * m, Left = 1;
ll ans = search(Left, Right);
cout << ans << endl;
return 0;
}版权声明：本文博主原创文章。博客，未经同意不得转载。
Codeforces Round #256 (Div. 2) D. Multiplication Table
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原文地址：http://www.cnblogs.com/mengfanrong/p/4806960.html
