(LightOj) 1328 – A Gift from the Setter

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here

#define MAXX 100007

#define MOD 1000007

ll a[MAXX];

int K, C, N;

ll v[MAXX];


ll solve()
{
    sort(a, a + N);

    reverse(a, a + N);

    ll ret = 0;

    v[0] = 0;

    FOR(i, 1, N)
    {
        v[i] = v[i-1] + (a[i-1] - a[i]) * (ll)i;
        ret += v[i];
    }

    return ret;

}




void init()
{

}


int main()
{
    init();

    int kases, kaseno = 0;

    take(kases);

    while(kases--)
    {
        take(K, C, N, a[0]);

        FOR(i, 1, N)
        {
            a[i] = (a[i-1]*K + C) % MOD;
        }


        pf("Case %d: %lld\n", ++kaseno, solve());




    }





    return 0;
}

(LightOj) 1374 – Confusion in the Problemset

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here

#define MAXX 10007

int n;

int m;

int x;

int cnt[MAXX];

void init()
{
    mem(cnt, 0);
}






int main()
{
    init();

    int kases, kaseno = 0;

    sf("%d", &kases);

    while(kases--)
    {
        init();

        sf("%d", &n);

        m = n - 1;

        loop(i, n)
        {
            sf("%d", &x);

            if(x > m)
            {
                continue;
            }
            else
            {
                cnt[x]++;
                cnt[m-x]++;
            }
        }

        bool possible = true;

        loop(i, n)
        {
            if(cnt[i] != 2)
            {
                possible = false;
                break;
            }
        }

        pf("Case %d: ", ++kaseno);

        if(possible)
        {
            pf("yes\n");
        }
        else
        {
            pf("no\n");
        }

    }



    return 0;
}

(UVa) 10990 – Another New Function

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here

#define MAXX 2000007



int phi[MAXX];

ll depth[MAXX], comu[MAXX];


void generatePhi()
{
    loop(i, MAXX)
    {
        phi[i] = i;
    }

    for(int i=2; i<MAXX; i+=2)
    {
        phi[i] /= 2;
    }

    bool isPrime[MAXX];

    mem(isPrime, 1);

    for(int i=3; i<MAXX; i+=2)
    {
        if(isPrime[i])
        {
            for(int j=i; j<MAXX; j+=i)
            {
                phi[j] = (phi[j]/i) * (i-1);
                isPrime[j] = false;
            }
        }
    }
}

void generateDepth()
{
    for(int i=2; i<MAXX; i++)
    {
        depth[i] = depth[ phi[i] ] + 1;
    }
}


void generateComu()
{
    for(int i=1; i<MAXX; i++)
    {
        comu[i] = comu[i-1] + depth[i];
    }
}






void init()
{
    generatePhi();

    generateDepth();

    generateComu();
}


int main()
{
    init();


    int kases, n, m;

    take(kases);

    while(kases--)
    {
        take(m, n);

        pf("%lld\n", comu[n] - comu[m-1]);
    }



    return 0;
}

(UVa) 11889 – Benefit

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here


#define MAXX 10007



ll A, C;
vector<ll>primes;



void generatePrimes()
{

    bool isPrime[MAXX];

    mem(isPrime, 1);

    int root = sqrt(MAXX) + 7;

    for(int i=3; i<root; i+=2)
    {
        if(isPrime[i])
        {
            for(int j=i*i; j<MAXX; j+=2*i)
            {
                isPrime[j] = false;
            }
        }
    }

    primes.pb(2);



    for(int i=3; i<MAXX; i+=2)
    {
        if(isPrime[i])
        {
            primes.pb(i);
        }
    }

}

void init()
{
    generatePrimes();

}


void solve()
{
    if((C%A) != 0)
    {
        pf("NO SOLUTION\n");
    }
    else
    {
        ll root = sqrt(C);

        ll ret = 1;

        for(int i=0; i<SZ(primes) && primes[i] <= root; i++)
        {
            if((C%primes[i]) == 0)
            {
                ll tmp = 1;

                while( (C%primes[i]) == 0 && (A % primes[i]) == 0 )
                {
                    tmp*=primes[i];
                    C /= primes[i];
                    A /= primes[i];
                }

                if( (C % primes[i]) == 0 )
                {
                    do {
                        tmp *= primes[i];
                        C /= primes[i];
                    }while( (C%primes[i]) == 0 );

                    ret *= tmp;

                }

                root = sqrt(C);
            }
        }

        if(C != 1)
        {
            if(A != C)
            {
                ret *= C;
            }
        }

        pf("%lld\n", ret);
    }
}


int main()
{
    init();

    int kases;

    take(kases);

    while(kases--)
    {
        take(A, C);

        solve();
    }



    return 0;
}

(LightOj) 1433 – Minimum Arc Distance

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here



#define sq(x) ((x)*(x))



void init()
{

}


struct Point{
    double x, y;

    double operator-(const Point &P) const
    {
        return sqrt(sq(this->x - P.x) + sq(this->y - P.y));
    }

};


int main()
{
    init();

    int kases, kaseno = 0;

    Point O, A, B;

    cin>>kases;

    while(kases--)
    {
        cin>>O.x>>O.y>>A.x>>A.y>>B.x>>B.y;

        double r = O - A;

        double p = A - B;

        double theta = 1.0 - (sq(p)/(2.0*sq(r)));

        theta = acos(theta);

        double s = r * theta;

        pf("Case %d: %.6lf\n", ++kaseno, s);


    }



    return 0;
}

(LightOj) 1178 – Trapezium

0
/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here




void init()
{

}


int main()
{
    init();

    int kases, kaseno = 0;

    cin>>kases;

    double a, b, c, d;

    while(kases--)
    {
        cin>>a>>b>>c>>d;

        if(a>c) swap(a, c);

        double s = (b + d + c - a)/2.0;


        double area = sqrt(s * (s - b) * (s - d) *(s - c + a));

        double h = (2*area) / (c - a );

        area = area + a*h;

        pf("Case %d: %.7lf\n",++kaseno, area);
    }



    return 0;
}

(LightOj) 1331 – Agent J

0

#include<iostream>
#include<cmath>
#include<cstdio>
#define PI acos(-1.0)

double cosInverse(double angle)
{
    return acos(angle) * 180.0 / PI;
}
using namespace std;
int main()
{
    int cases, caseno = 0;
    double a, b, c, angleA, angleB, angleC, fullArea;
    cin>>cases;
    while(cases--)
    {
        cin>>a>>b>>c;
        angleC = (a*(a+b+c) - b*c) / (a*(a+b+c) + b*c);
        angleC = cosInverse(angleC);
        angleB = (b*(a+b+c) - a*c) / (b*(a+b+c) + a*c);
        angleB = cosInverse(angleB);
        angleA = 180.0 - angleB - angleC;


        fullArea = 0.5 * (a+c) * (a+b) * sin(angleC * PI/180.0);
        fullArea -= (PI*a*a)*angleC/360.0;
        fullArea -= (PI*b*b) * angleB / 360.0;
        fullArea -= (PI*c*c) * angleA / 360.0;
        printf("Case %d: %.9lf\n", ++caseno, fullArea);

    }
    return 0;
}

(UVA) 11909 – Soya Milk

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here


#define toRadian(x) ((x) * PI / 180.0)

void init()
{

}


int main()
{
    init();

    double l, h, w, theta;

    while(cin>>l>>w>>h>>theta)
    {
        double tmp = atan(h/l);

        double ret = 0;

        if(toRadian(theta)> tmp)
        {
            //dump(true);
            theta = 90.0 - theta;

            swap(h, l);

            ret = w*0.5*l*l*tan(toRadian(theta));
        }
        else
        {
            ret = w * (l*h - 0.5*l*l*tan(toRadian(theta)));
        }


        if(l == 0 || h == 0 || w == 0)
        {
            ret = 0;
        }

        pf("%.3lf mL\n", ret);
    }



    return 0;
}

(UVA) 11579 – Triangle Trouble

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here


#define MAXX 10007


void init()
{

}


int main()
{
    init();

    int kases, N;

    double len[MAXX];

    take(kases);

    while(kases--)
    {
        take(N);

        loop(i, N)
        {
            take(len[i]);
        }

        sort(len, len + N);

        reverse(len, len + N);

        double max_area = 0;

        loop(i, N)
        {
            int j = i + 1;
            int k = j + 1;
            if(k>=N)
            {
                break;
            }

            if(len[i] < len[j] + len[k])
            {
                double s = (len[i] + len[j] + len[k]) / 2.0;

                double area = sqrt(s*(s - len[i])*(s - len[j]) * (s - len[k]));

                max_area = max(max_area, area);

                //break;
            }




        }

        pf("%.2lf\n", max_area);
    }



    return 0;
}

(UVA) 10991 – Region

0

/****************************************************************
   ▄█    █▄       ▄████████    ▄████████  ▄█  ▀█████████▄
  ███    ███     ███    ███   ███    ███ ███    ███    ███
  ███    ███     ███    ███   ███    █▀  ███   ███    ███
 ▄███▄▄▄▄███▄▄   ███    ███   ███        ███  ▄███▄▄▄██▀
▀▀███▀▀▀▀███▀  ▀███████████ ▀███████████ ███ ▀▀███▀▀▀██▄
  ███    ███     ███    ███          ███ ███    ███    ██▄
  ███    ███     ███    ███    ▄█    ███ ███    ███    ███
  ███    █▀      ███    █▀   ▄████████▀  █▀   ▄█████████▀
****************************************************************/



#include<bits/stdc++.h>


#define FOR(i, s, e) for(int i=s; i<e; i++)
#define loop(i, n) FOR(i, 0, n)
#define sf scanf
#define pf printf
#define pb push_back
#define MP make_pair
#define fr first
#define sc second
#define ll long long
#define dd double
#define all(v) v.begin(), v.end()
#define PI acos(-1.0)
#define mem(ara, value) memset(ara, value, sizeof(ara))
#define paii pair<int, int>
#define pall pair<ll, ll>
#define SZ(a) int(a.size())
#define read(nm) freopen(nm, "r", stdin)
#define write(nm) freopen(nm, "w", stdout)

#define take(args...) asdf,args
#define dump(x) cerr<<#x<<" = "<<x<<endl
#define debug(args...) cerr,args; cerr<<endl;
using namespace std;


template<typename T>
ostream& operator<<(ostream& output, vector<T>&v)
{
    output<<"[ ";
    if(SZ(v))
    {
        output<<v[0];
    }
    FOR(i, 1, SZ(v))
    {
        output<<", "<<v[i];
    }
    output<<" ]";
    return output;
}

template<typename T1, typename T2>
ostream& operator<<(ostream& output, pair<T1, T2>&p)
{
    output<<"( "<<p.fr<<", "<<p.sc<<" )";
    return output;
}




template<typename T>
ostream& operator,(ostream& output, T x)
{
    output<<x<<" ";
    return output;
}



struct ASDF{
    ASDF& operator,(int &a) {
        sf("%d", &a);
        return *this;
    }
    ASDF& operator,(long int &a){
        sf("%ld", &a);
        return *this;
    }
    ASDF& operator,(long long int &a){
        sf("%lld", &a);
        return *this;
    }
    ASDF& operator,(char &c){
        sf("%c", &c);
        return *this;
    }
    ASDF& operator,(double &d){
        sf("%lf", &d);
        return *this;
    }

    template<typename T>
    ASDF& operator,(T &a){
        cin>>a;
        return *this;
    }
}asdf;



//Header ends here




void init()
{

}

#define sq(x) (x*x)
#define toDegree(x) ((x) * 180/PI)


int main()
{
    init();

    int kases;
    double r1, r2, r3;

    sf("%d", &kases);

    while(kases--)
    {
        sf("%lf %lf %lf", &r1, &r2, &r3);


        double s = r1 + r2 + r3;

        double area = sqrt(s*r1*r2*r3);

        double a = r2 + r3;
        double b = r1 + r3;
        double c = r1 + r2;

        double A = (sq(b) + sq(c) - sq(a)) / (2*b*c);

        A = acos(A);

        A = toDegree(A);

        double B = ( sq(a) + sq(c) - sq(b) ) / (2*a*c);

        B = acos(B);

        B = toDegree(B);

        double C = (sq(a) + sq(b) - sq(c)) / (2*a*b);

        C = acos(C);

        C = toDegree(C);

        area = area - (PI*r1*r1 * (A/360.0)) - (PI*r2*r2* (B/360.0)) - (PI*r3*r3*(C/360.0));

        pf("%.6lf\n", area);

    }



    return 0;
}