#include <stdio.h>void solve() { int n = 24; int l = 0, r = 100, ans = n; while(l <= r) { int mid = (l + r) / 2; if(mid * mid <= n) { ans = mid; l = mid + 1; } else { r = mid - 1; } } printf("%d", ans);}int main() { solve(); return 0;}
Question
#include <stdio.h>void solve() { int n = 24; int l = 0, r = 100, ans = n; while(l <= r) { int mid = (l + r) / 2; if(mid * mid <= n) { ans = mid; l = mid + 1; } else { r = mid - 1; } } printf("%d", ans);}int main() { solve(); return 0;}
Solution
This is a C program that finds the largest integer whose square is less than or equal to a given number (24 in this case). The program uses a binary search algorithm to find the answer. Here's a step-by-step explanation:
-
The
solvefunction is defined. It initializesnto 24,lto 0,rto 100, andanston. -
The program enters a while loop that continues as long as
lis less than or equal tor. -
Inside the loop,
midis calculated as the average oflandr. -
If the square of
midis less than or equal ton,ansis updated tomidandlis updated tomid + 1. -
If the square of
midis greater thann,ris updated tomid - 1. -
The loop continues until
lis greater thanr, at which point the largest integer whose square is less than or equal tonhas been found and is stored inans. -
The
printffunction is used to print the value ofans. -
The
mainfunction calls thesolvefunction and then returns 0 to indicate that the program has finished successfully.
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