蓝桥杯 2017年省赛C++B组题3 承压计算
X星球的高科技实验室中整齐地堆放着某批珍贵金属原料。
每块金属原料的外形、尺寸完全一致，但重量不同。
金属材料被严格地堆放成金字塔形。
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7
5 8
7 8 8
9 2 7 2
8 1 4 9 1
8 1 8 8 4 1
7 9 6 1 4 5 4
5 6 5 5 6 9 5 6
5 5 4 7 9 3 5 5 1
7 5 7 9 7 4 7 3 3 1
4 6 4 5 5 8 8 3 2 4 3
1 1 3 3 1 6 6 5 5 4 4 2
9 9 9 2 1 9 1 9 2 9 5 7 9
4 3 3 7 7 9 3 6 1 3 8 8 3 7
3 6 8 1 5 3 9 5 8 3 8 1 8 3 3
8 3 2 3 3 5 5 8 5 4 2 8 6 7 6 9
8 1 8 1 8 4 6 2 2 1 7 9 4 2 3 3 4
2 8 4 2 2 9 9 2 8 3 4 9 6 3 9 4 6 9
7 9 7 4 9 7 6 6 2 8 9 4 1 8 1 7 2 1 6
9 2 8 6 4 2 7 9 5 4 1 2 5 1 7 3 9 8 3 3
5 2 1 6 7 9 3 2 8 9 5 5 6 6 6 2 1 8 7 9 9
6 7 1 8 8 7 5 3 6 5 4 7 3 4 6 7 8 1 3 2 7 4
2 2 6 3 5 3 4 9 2 4 5 7 6 6 3 2 7 2 4 8 5 5 4
7 4 4 5 8 3 3 8 1 8 6 3 2 1 6 2 6 4 6 3 8 2 9 6
1 2 4 1 3 3 5 3 4 9 6 3 8 6 5 9 1 5 3 2 6 8 8 5 3
2 2 7 9 3 3 2 8 6 9 8 4 4 9 5 8 2 6 3 4 8 4 9 3 8 8
7 7 7 9 7 5 2 7 9 2 5 1 9 2 6 5 3 9 3 5 7 3 5 4 2 8 9
7 7 6 6 8 7 5 5 8 2 4 7 7 4 7 2 6 9 2 1 8 2 9 8 5 7 3 6
5 9 4 5 5 7 5 5 6 3 5 3 9 5 8 9 5 4 1 2 6 1 4 3 5 3 2 4 1
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
其中的数字代表金属块的重量（计量单位较大）。
最下一层的X代表30台极高精度的电子秤。
假设每块原料的重量都十分精确地平均落在下方的两个金属块上，
最后，所有的金属块的重量都严格精确地平分落在最底层的电子秤上。
电子秤的计量单位很小，所以显示的数字很大。
工作人员发现，其中读数最小的电子秤的示数为：2086458231
请你推算出：读数最大的电子秤的示数为多少？
注意：需要提交的是一个整数，不要填写任何多余的内容。
格式化金字塔
将金字塔转化为二维数组形式，见下图：
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{7},
{5,8},
{7,8,8},
{9,2,7,2},
{8,1,4,9,1},
{8,1,8,8,4,1},
{7,9,6,1,4,5,4},
{5,6,5,5,6,9,5,6},
{5,5,4,7,9,3,5,5,1},
{7,5,7,9,7,4,7,3,3,1},
{4,6,4,5,5,8,8,3,2,4,3},
{1,1,3,3,1,6,6,5,5,4,4,2},
{9,9,9,2,1,9,1,9,2,9,5,7,9},
{4,3,3,7,7,9,3,6,1,3,8,8,3,7},
{3,6,8,1,5,3,9,5,8,3,8,1,8,3,3},
{8,3,2,3,3,5,5,8,5,4,2,8,6,7,6,9},
{8,1,8,1,8,4,6,2,2,1,7,9,4,2,3,3,4},
{2,8,4,2,2,9,9,2,8,3,4,9,6,3,9,4,6,9},
{7,9,7,4,9,7,6,6,2,8,9,4,1,8,1,7,2,1,6},
{9,2,8,6,4,2,7,9,5,4,1,2,5,1,7,3,9,8,3,3},
{5,2,1,6,7,9,3,2,8,9,5,5,6,6,6,2,1,8,7,9,9},
{6,7,1,8,8,7,5,3,6,5,4,7,3,4,6,7,8,1,3,2,7,4},
{2,2,6,3,5,3,4,9,2,4,5,7,6,6,3,2,7,2,4,8,5,5,4},
{7,4,4,5,8,3,3,8,1,8,6,3,2,1,6,2,6,4,6,3,8,2,9,6},
{1,2,4,1,3,3,5,3,4,9,6,3,8,6,5,9,1,5,3,2,6,8,8,5,3},
{2,2,7,9,3,3,2,8,6,9,8,4,4,9,5,8,2,6,3,4,8,4,9,3,8,8},
{7,7,7,9,7,5,2,7,9,2,5,1,9,2,6,5,3,9,3,5,7,3,5,4,2,8,9},
{7,7,6,6,8,7,5,5,8,2,4,7,7,4,7,2,6,9,2,1,8,2,9,8,5,7,3,6},
{5,9,4,5,5,7,5,5,6,3,5,3,9,5,8,9,5,4,1,2,6,1,4,3,5,3,2,4,1}
解题算法
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#include "iostream"
#include "algorithm"
double a[30][30]{
{7},
{5,8},
{7,8,8},
{9,2,7,2},
{8,1,4,9,1},
{8,1,8,8,4,1},
{7,9,6,1,4,5,4},
{5,6,5,5,6,9,5,6},
{5,5,4,7,9,3,5,5,1},
{7,5,7,9,7,4,7,3,3,1},
{4,6,4,5,5,8,8,3,2,4,3},
{1,1,3,3,1,6,6,5,5,4,4,2},
{9,9,9,2,1,9,1,9,2,9,5,7,9},
{4,3,3,7,7,9,3,6,1,3,8,8,3,7},
{3,6,8,1,5,3,9,5,8,3,8,1,8,3,3},
{8,3,2,3,3,5,5,8,5,4,2,8,6,7,6,9},
{8,1,8,1,8,4,6,2,2,1,7,9,4,2,3,3,4},
{2,8,4,2,2,9,9,2,8,3,4,9,6,3,9,4,6,9},
{7,9,7,4,9,7,6,6,2,8,9,4,1,8,1,7,2,1,6},
{9,2,8,6,4,2,7,9,5,4,1,2,5,1,7,3,9,8,3,3},
{5,2,1,6,7,9,3,2,8,9,5,5,6,6,6,2,1,8,7,9,9},
{6,7,1,8,8,7,5,3,6,5,4,7,3,4,6,7,8,1,3,2,7,4},
{2,2,6,3,5,3,4,9,2,4,5,7,6,6,3,2,7,2,4,8,5,5,4},
{7,4,4,5,8,3,3,8,1,8,6,3,2,1,6,2,6,4,6,3,8,2,9,6},
{1,2,4,1,3,3,5,3,4,9,6,3,8,6,5,9,1,5,3,2,6,8,8,5,3},
{2,2,7,9,3,3,2,8,6,9,8,4,4,9,5,8,2,6,3,4,8,4,9,3,8,8},
{7,7,7,9,7,5,2,7,9,2,5,1,9,2,6,5,3,9,3,5,7,3,5,4,2,8,9},
{7,7,6,6,8,7,5,5,8,2,4,7,7,4,7,2,6,9,2,1,8,2,9,8,5,7,3,6},
{5,9,4,5,5,7,5,5,6,3,5,3,9,5,8,9,5,4,1,2,6,1,4,3,5,3,2,4,1}
};
int main(){
int i, j;
double max=0, min=9999999;
double result;
for(i=1; i<=29; i++){
for(j=0; j<=i; j++){
//如果为首尾两个数值话，直接自身/2运算
if(j==0){
a[i][j] += a[i-1][0]/2.0;
}else{
//正常两个数值进行向下除法加法运算
a[i][j] += a[i-1][j-1]/2.0 + a[i-1][j]/2.0;
}
}
}
for(i=0; i<=29; i++){
if(a[29][i]<min){
min = a[29][i];
}
if(a[29][i]>max){
max = a[29][i];
}
}
printf("%lf\n",2086458231/min*max);
return 0;
}
题解答案
72665192664
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