A - Kirill And The Game
Topic:
Kirill plays a new computer game. He came to the potion store where he can buy any potion. Each potion is characterized by two integers — amount of experience and cost. The efficiency of a potion is the ratio of the amount of experience to the cost. Efficiency may be a non-integer number. For each two integer numbers a and b such that l ≤ a ≤ r and x ≤ b ≤ y there is a potion with experience a and cost b in the store (that is, there are (r - l + 1)·(y - x + 1) potions). Kirill wants to buy a potion which has efficiency k. Will he be able to do this?
First string contains five integer numbers l, r, x, y, k (1 ≤ l ≤ r ≤ 107, 1 ≤ x ≤ y ≤ 107, 1 ≤ k ≤ 107).
Output:
Print "YES" without quotes if a potion with efficiency exactly k can be bought in the store and "NO" without quotes otherwise. You can output each of the letters in any register.
Example:
Input 1 10 1 10 1 Output YES Input 1 5 6 10 1 Output NO
题意:
药剂 都有 经验值 和成本 经验值和成本的比值,就是药剂的效率(效率可能是小数). 一种药剂,在商店里 经验值为 a(l<=a<=r) ,成本为 b(x<=b<=y) 共有 (r-l+1)*(y-x+1) 个药剂. 想买一个有效率 k 的药水。
思路:
将x至y的每一个数都乘以k只要有一个数>=l并且<=r，就可以YES，如果没有，就NO。
题解:
#include<bits/stdc++.h>using namespace std;int main(){ long long int l,r,x,y,k,i,s; cin>>l>>r>>x>>y>>k;for(i=x;i<=y;i++){ s=i*k; if(s>=l&&s<=r) { cout<<"YES"; return 0; }}cout<<"NO"; return 0;}
