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- #include <bits/stdc++.h>
- // #include <iostream>
- // #include <cstdio>
- // #include <cstdlib>
- // #include <algorithm>
- // #include <cmath>
- // #include <vector>
- // #include <set>
- // #include <map>
- // #include <queue>
- // #include <stack>
- // #include <ctime>
- // #include <cassert>
- // #include <complex>
- // #include <string>
- // #include <cstring>
- // #include <bitset>
- using namespace std;
- // #pragma GCC optimize("Ofast,no-stack-protector")
- // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
- // #pragma GCC optimize("unroll-loops")
- #define ll long long int
- #define vi vector< int >
- #define vll vector< ll >
- #define sc scanf
- #define pf printf
- #define cspf(i) pf("Case %d: ", i)
- #define spc pf(" ")
- #define line pf("\n")
- #define ff first
- #define ss second
- #define mp make_pair
- #define pb push_back
- #define ppb pop_back
- #define tp(v,j) get<j>(v)
- #define Log(b,x) (log(x)/log(b))
- #define FOR(i,x,y) for(int i = int(x); i < int(y); i++)
- #define ROF(i,x,y) for(int i = int(x)-1; i >= int(y); i--)
- #define clr(arr,x) memset(arr, x, sizeof arr)
- #define vout(v,sz) for(int w=0;w<sz;w++){if(w) spc; cout<<v[w];}
- #define all(v) v.begin(), v.end()
- #define rall(v) v.rbegin(), v.rend()
- #define unq(v) sort(all(v)),(v).resize(unique(all(v))-v.begin())
- #define fastIO ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr)
- #define sc1(x) sc("%d",&x);
- #define sc2(x,y) sc("%d %d", &x, &y)
- #define sc3(x,y,z) sc("%d %d %d", &x, &y, &z)
- #define scl1(x) sc("%lld",&x);
- #define scl2(x,y) sc("%lld %lld", &x, &y)
- #define scf1(x) sc("%lf",&x);
- #define scf2(x,y) sc("%lf %lf", &x, &y)
- #define pf1(x) pf("%d",x);
- #define pf2(x,y) pf("%d %d", x, y)
- #define pfl1(x) pf("%lld",x);
- #define pfl2(x,y) pf("%lld %lld", x, y)
- #define MOD (int)(998244353)
- #define MaxN 100000
- #define inf 0x3f3f3f3f
- #define PI acos(-1.0) // 3.1415926535897932
- #define eps 1e-6
- template <class T> inline T bigMod(T p,T e,T M){T ret=1; for(;e>0;e>>=1){ if(e&1) ret=(ret*p)%M; p=(p*p)%M;} return (T)ret;}
- template <class T> inline T modInverse(T a,T M){return bigMod(a,M-2,M);}
- template <class T> inline T gcd(T a,T b){if(b==0)return a;return gcd(b,a%b);}
- template <class T> inline T lcm(T a,T b) {a=abs(a);b=abs(b); return (a/gcd(a,b))*b;}
- int dx[] = { 1,-1, 0, 0}; //graph moves
- int dy[] = { 0, 0, 1,-1}; //graph moves
- struct PT{
- double x,y;
- void scan(){ scanf("%lf %lf",&x,&y);}
- void prnt(){ printf("%.2lf %.2lf\n",x,y);}
- };
- double SQ(double x){ return x*x;}
- double Dis(PT a,PT b){ return SQ(a.x-b.x) + SQ(a.y-b.y);}
- double absDis(PT a,PT b){ return sqrt(Dis(a,b));}
- double Dot(PT a,PT b){ return a.x*b.x + a.y*b.y;}
- double Cross(PT a,PT b){ return a.x*b.y - b.x*a.y;}
- double toRadian(double x){ return (x*(PI/180.0));}
- double toDegree(double x){ return (x*(180.0/PI));}
- //can be represent as a line
- PT vect(PT a,PT b){ return {a.x-b.x, a.y-b.y};}
- int orientation(PT a,PT b,PT c)
- {
- return (b.y-a.y)*(c.x-b.x)-(b.x-a.x)*(c.y-b.y);
- }
- bool ifParrallel(PT a,PT b,PT c,PT d)
- {
- if(abs(Cross(vect(a,b),vect(c,d)))>eps) //line ab and line cd is parrallel if abXcd=0
- return false;
- return true;
- }
- bool ifPerpendicular(PT a,PT b,PT c,PT d)
- {
- if(abs(Dot(vect(a,b),vect(c,d)))>eps) //line ab and line cd is parrallel if ab.cd=0
- return false;
- return true;
- }
- /*Area*/
- double heronTriangle(double a, double b, double c){
- double s = (a + b + c) / 2.0;
- if(s - a < 0) return -1;
- if(s - b < 0) return -1;
- if(s - c < 0) return -1;
- return sqrt(s * (s - a) * (s - b) * (s - c));
- }
- double mdedianTriangle(double a, double b, double c){
- double s = (a + b + c) / 2.0;
- if(s - a < 0) return -1;
- if(s - b < 0) return -1;
- if(s - c < 0) return -1;
- return (4.0 / 3.0 ) * sqrt(s * (s - a) * (s - b) * (s - c));
- }
- ///Area of irregular polygon
- double AreaOfPolygon(int n,PT a[])
- {
- double area = 0.0;
- for(int i=1;i<n;i++){
- area+=(a[i-1].x*a[i].y-a[i].x*a[i-1].y);
- }
- area+=(a[n-1].x*a[0].y-a[0].x*a[n-1].y);
- return area/2.0;
- }
- /*volumn*/
- double coneVolume(double r, double h){
- return PI * r * r * h / 3.0;
- }
- double CircumcircleR(double a, double b, double c){
- if(a + b + c < eps) return 0;
- return (a * b * c) / sqrt((a + b + c) * (b + c - a) * (c + a - b) * (a + b - c));
- }
- double IncircleR(double a, double b, double c){
- if(a + b + c < eps) return 0;
- return 2.0 * heronTriangle(a, b, c) / (a + b + c);
- }
- bool insideRectangle(PT p, PT a, PT c){
- if(p.x < a.x or p.x > c.x) return false;
- if(p.y < a.y or p.y > c.y) return false;
- return true;
- }
- PT f; //init first coordinate
- //for clockwise sorting
- bool ClockCmp(PT &a,PT &b){ return (f.x-a.x)*(f.y-b.y)<(f.x-b.x)*(f.y-a.y);}
- //for anti-clockwise sorting
- bool AClockCmp(PT &a,PT &b){ return (f.x-a.x)*(f.y-b.y)>(f.x-b.x)*(f.y-a.y);}
- int main()
- {
- #ifndef ONLINE_JUDGE
- clock_t tStart = clock();
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif
- int t; sc1(t);
- getchar();
- while(t--){
- string s;
- getline(cin, s);
- bool f = true;
- double area;
- for(int i=1; i < s.size() && f; i++){
- if(s[i] == ' ') f = false;
- }
- if(!f){
- int r1 = 0, r2=0, i = 0;
- for(; i < s.size(); i++){
- if(s[i] == ' ') break;
- r1 = r1 * 10 + (s[i] - '0');
- }
- i++;
- for(; i < s.size(); i++){
- r2 = r2 * 10 + (s[i] - '0');
- }
- // cout << s << ' ' << r1 << ' ' << r2 << '\n';
- int R = r1 + r2;
- area = PI * R * R - PI * r1 * r1 - PI * r2 * r2;
- }
- else{
- int t = 0;
- for(int i=0; i < s.size(); i++){
- t = t * 10 + (s[i] - '0');
- }
- double R = t/2.0;
- double r1 = R/2.0;
- double r2 = R/2.0;
- // cout << s << ' ' << R << ' ' << r1 << ' ' << r2 << '\n';
- area = PI * R * R - PI * r1 * r1 - PI * r2 * r2;
- }
- pf("%.4lf\n", area);
- }
- #ifndef ONLINE_JUDGE
- fprintf(stderr, "\n>> Runtime: %.10fs\n", (double) (clock() - tStart) / CLOCKS_PER_SEC);
- #endif
- return 0;
- }
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