二分法查找
基本思路
(1)首先,从数组的中间元素开始搜索,如果该元素正好是目标元素,则搜索过程结束,否则执行下一步。
(2)如果目标元素大于/小于中间元素,则在数组大于/小于中间元素的那一半区域查找,然后重复步骤(1)的操作。
(3)如果某一步数组为空,则表示找不到目标元素。
(二分法查找的时间复杂度O(logn)。)
代码模型
int mid,r,l;
l=1;r=n;
while(l<r){
mid=(l+r)/2;
if(a[mid]==x) break;
else if(a[mid]>x) r=mid;
else l=mid+1;
}
例题
Now,given the equation 8x^4 + 7x^3 + 2x^2 + 3x + 6 == Y,can you find its solution between 0 and 100;
Now please try your lucky.
Input
The first line of the input contains an integer T(1<=T<=100) which means the number of test cases. Then T lines follow, each line has a real number Y (fabs(Y) <= 1e10);
Output
For each test case, you should just output one real number(accurate up to 4 decimal places),which is the solution of the equation,or “No solution!”,if there is no solution for the equation between 0 and 100.
Sample Input
2
100
-4
Sample Output
1.6152
No solution!
#include<iostream>
#define ee (1e-8)
double fff(double x){
return (8*x*x*x*x+7*x*x*x+2*x*x+3*x+6);
}
int main()
{
int n,k;
double mid,l,r,q;
scanf("%d",&n);
while(n--){
scanf("%lf",&q);
r=100;
l=0;
if(q>fff(r)||q<fff(l)){
printf("No solution!\n");
}
else {
while(l+ee<r){
mid=(r+l)/2.0;
if(q>fff(mid)+ee) l=mid;
else if(q<fff(mid)-ee) r=mid;
else break;
}
printf("%.4lf\n",mid);
}
}
}
本文来自博客园,作者:{HB_B},转载请注明原文链接:https://www.cnblogs.com/SJNNN/p/15635381.html

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