solved 2022

Author: atobaum

2000/2022/2022.cpp

@@ -0,0 +1,27 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+typedef long long ll;
+double x, y, c, m, M, mid;
+
+double calc(double d){
+  return 1/sqrt(x*x-d*d) + 1/sqrt(y*y-d*d) - 1/c;
+}
+
+int main() {
+  ios::sync_with_stdio(false); cin.tie(NULL);
+
+  cin>>x>>y>>c;
+  m=0;
+  M=min(x, y);
+  while(M-m >= 1e-5){
+    mid = (m+M)/2;
+
+    if(calc(mid) > 0) M = mid;
+    else m = mid;
+  }
+
+  cout << mid;
+
+  return 0;
+}