Problem link: 1178 - Trapezium
Explanation: math-only-math.com
Code:
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#include <bits/stdc++.h>
using namespace std;
#define INF 1<<30
#define endl '\n'
#define maxn 100005
#define tc printf("Case %d: ", cs)
#define tcn printf("Case %d:\n", cs);
#define FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
typedef long long ll;
const double PI = acos(-1.0);
#define dbg1(x) cerr << #x << " = " << x << endl;
#define dbg2(x, y) cerr << #x << " = " << x << ", " << #y << " = " << y << endl;
#define dbg3(x, y, z) cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z << " = " << z << endl;
#define dbg4(w,x, y, z) cerr << #w << " = " << w << ", " <<#x << " = " << x << ", " << #y << " = " << y << ", " << #z << " = " << z << endl;
int main()
{
//FASTIO
///*
#ifndef ONLINE_JUDGE
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
freopen("error.txt", "w", stderr);
#endif
//*/
int T;
scanf("%d", &T);
//T = 1;
for (int cs = 1; cs <= T; cs++) {
double a, b, c, d;
scanf("%lf %lf %lf %lf", &a, &b, &c, &d);
double x = fabs(a - c);
double s = 0.5 * (x + b + d);
//dbg(s);
double triangle_area = sqrt(s * (s - x) * (s - b) * (s - d));
//dbg(triangle_area);
double h = (triangle_area * 2.0) / x;
//dbg(h);
double ans = 0.5 * (a + c) * h;
printf("Case %d: %.8lf\n", cs, ans);
}
return 0;
}
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| #include <bits/stdc++.h> | |
| using namespace std; | |
| #define INF 1<<30 | |
| #define endl '\n' | |
| #define maxn 100005 | |
| #define tc printf("Case %d: ", cs) | |
| #define tcn printf("Case %d:\n", cs); | |
| #define FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); | |
| typedef long long ll; | |
| const double PI = acos(-1.0); | |
| #define dbg1(x) cerr << #x << " = " << x << endl; | |
| #define dbg2(x, y) cerr << #x << " = " << x << ", " << #y << " = " << y << endl; | |
| #define dbg3(x, y, z) cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z << " = " << z << endl; | |
| #define dbg4(w,x, y, z) cerr << #w << " = " << w << ", " <<#x << " = " << x << ", " << #y << " = " << y << ", " << #z << " = " << z << endl; | |
| int main() | |
| { | |
| //FASTIO | |
| ///* | |
| #ifndef ONLINE_JUDGE | |
| freopen("in.txt", "r", stdin); | |
| freopen("out.txt", "w", stdout); | |
| freopen("error.txt", "w", stderr); | |
| #endif | |
| //*/ | |
| int T; | |
| scanf("%d", &T); | |
| //T = 1; | |
| for (int cs = 1; cs <= T; cs++) { | |
| double a, b, c, d; | |
| scanf("%lf %lf %lf %lf", &a, &b, &c, &d); | |
| double x = fabs(a - c); | |
| double s = 0.5 * (x + b + d); | |
| //dbg(s); | |
| double triangle_area = sqrt(s * (s - x) * (s - b) * (s - d)); | |
| //dbg(triangle_area); | |
| double h = (triangle_area * 2.0) / x; | |
| //dbg(h); | |
| double ans = 0.5 * (a + c) * h; | |
| printf("Case %d: %.8lf\n", cs, ans); | |
| } | |
| return 0; | |
| } |
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