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TRIGALGE - Easy Calculation
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/** | |
* Author : Pnictogen | |
* Task : | |
* Algo : | |
**/ | |
#include <bits/stdc++.h> | |
#define endl '\n' | |
#define sqr(x) (x) * (x) | |
#define gcd(x,y) __gcd(x,y) | |
#define lcm(x,y) ((x/gcd(x,y)) * y) | |
#define sz(x) (int)x.size() | |
#define all(x) (x).begin(),(x).end() | |
#define rall(x) (x).rbegin(),(x).rend() | |
#define prec(x) fixed<<setprecision(x) | |
#define min3(a,b,c) min(a,min(b,c)) | |
#define max3(a,b,c) max(a,max(b,c)) | |
#define min4(a,b,c,d) min(a,min(b,min(c,d))) | |
#define max4(a,b,c,d) max(a,max(b,max(c,d))) | |
#define unsyncIO ios_base::sync_with_stdio(false); cin.tie(nullptr) | |
using namespace std; | |
using ll = long long; | |
using db = double; | |
using ld = long double; | |
using ull = unsigned long long; | |
const ld PI = acos((ld) - 1); | |
const int MOD = 1e9 + 7; | |
const ll INF = 2e18 + 1; | |
const ld EPS = 1e-7; | |
const int MX = 2e5; | |
#ifdef LOCAL | |
#include"debug.h" | |
#else | |
#define debug(...) | |
#endif | |
void solve() { | |
ld a, b, c; cin >> a >> b >> c; | |
ld low = 0.0, high = c, mid, eq; | |
cout << fixed << setprecision(6); | |
while (low <= high) { | |
mid = (low + high) / 2.0; | |
eq = (a * mid) + (b * sin(mid)); | |
if (eq < c) low = mid + EPS; | |
else if (eq > c) high = mid - EPS; | |
} | |
cout << mid << endl; | |
} | |
int main() { | |
#ifdef LOCAL | |
clock_t tStart = clock(); | |
freopen("in.txt", "r", stdin); | |
freopen("out.txt", "w", stdout); | |
#endif | |
unsyncIO; | |
int t = 1; cin >> t; | |
while (t--) { | |
solve(); | |
} | |
#ifdef LOCAL | |
cerr << "\nRuntime: " << (ld) (clock() - tStart) / CLOCKS_PER_SEC << " Seconds" << endl; | |
#endif | |
return 0; | |
} |
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