Answered Essay: plz use divide-and-conquer algorithm design to solve this problem.

plz use divide-and-conquer algorithm design to solve this problem.

Problem: Which digit? A single positive integer i is given. Write a program to find the digit located in position i in the following infinite sequence of digits created by juxtaposing the increasing larger sequences of incremented integers 1,2,3, For example, the first 80 digits of the sequence are as follows: 11212312341234512345612345671234567812345678912345678910123456789101112345678910 The first line of the input (stdin/keyboard) contains a single integer n (1Sn 100), the number of test cases, followed by one line for each test case. The line for a test case contains the single integer i (1 S i < 1010 There should be one output line per test case containing the digit located in position i Sample Input Sample Output 21

Which digit? A single positive integer i is given. Write a program to find the digit located in position i in the following infinite sequence of digits created by juxtaposing the increasing larger sequences of incremented integers 1, 2, 3, …. For example, the first 80 digits of the sequence are as follows: 11212312341234512345612345671234567812345678912345678910123456789101112345678910 The first line of the input (stdin/keyboard) contains a single integer n (1 lessthanorequalto n lessthanorequalto 100), the number of test cases, followed by one line for each test case. The line for a test case contains the single integer i (1 lessthanorequalto i

Expert Answer

in this program we have devide problems in every steps by using func(n) function;

#include<stdio.h>

int func(int n){

int p=1;

while(n>=(p*(p+1)/2)){

p++;

}

–p;

if(n==(p*(p+1)/2)){

return p;

}

else{

return n-(p*(p+1)/2);

}

int main(void){

int t,n;

scanf(“%d”,&t);

while(t){

scanf(“%d”,&n);

printf(“%dn”,func(n));

t–;

}

return 0;

}

//output is given in image below.

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