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### Re: 194 is the luckiest

Posted: Mon Jul 14, 2014 9:33 pm
Input:

Code: Select all

``````1
-1.00000000 -1.00000000 45.51570132 -1.00000000 80.21764072 2.32123470
``````
AC output:

Code: Select all

``````41.944135 0.392423 45.515701 0.427935 80.217641 2.321235
``````

### Re: 194 is the luckiest

Posted: Tue Jul 15, 2014 11:57 am
Thanks Brianfry!

If fixed my bug. I forgot to take sqrt of side when calculate it by cosine law.
But i still get WA.

### Re: 194 is the luckiest

Posted: Tue Jul 15, 2014 8:23 pm
Input:

Code: Select all

``````1
-1.00000000 -1.00000000 81.04284300 -1.00000000 83.34672734 0.05282544
``````
AC output:

Code: Select all

``````164.166600 3.037403 81.042843 0.051364 83.346727 0.052825
``````

### Re: 194 is the luckiest

Posted: Tue Jul 15, 2014 9:27 pm
Thank you very muuuuuuuuuuuuch!
I got acc. Uhunt shows my rank at 15.

This part was wrong
If ( angle < pi/2 and x > y * sin(angle) ) print "More than one solution."
else
if ( angle >= pi/2 and x <= y ) print "Invalid input."
else
if ( angle < pi/2 and x < y * sin(angle) ) print "Invalid input."
Correct is

Code: Select all

``````If ( angle < pi/2 and x < y  and  x > y * sin(angle) ) print "More than one solution."
else
if ( angle >= pi/2 and x <= y ) print "Invalid input."
else
if ( angle < pi/2 and x < y * sin(angle) ) print "Invalid input."``````
Also i got WA with eps = 1e-8.
I changed it to 1e-6 and got acc.

### Re: 194 - Triangle

Posted: Thu Mar 26, 2015 10:42 am
I don't know why I am getting WA... Help, please?

Code: Select all

``````#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <iomanip>
#include <iostream>
#include <list>
#include <queue>
#include <sstream>
#include <stack>
#include <stdio.h>
#include <string>
#include <vector>

using namespace std;

double tol = 0.000001;
vector<double> p(7,0);

bool fail_test (int i) {
if (i==2) {
if (p[1]==-1.) {
p[1] = M_PI - p[3] - p[5];
if (p[1] < 0)
return true;
}
else if (p[3]==-1.) {
p[3] = M_PI - p[1] - p[5];
if (p[3] < 0)
return true;
}
else if (p[5]==-1.) {
p[5] = M_PI - p[1] - p[3];
if (p[5] < 0)
return true;
}
}
if (p[1]!=-1. and p[3]!=-1. and p[5]!=-1. and abs(p[1]+p[3]+p[5]-M_PI)>tol)
return true;
if (p[0]!=-1. and p[1]!=-1. and p[2]!=-1. and p[3]!=-1. and abs(p[0]*sin(p[3])-p[2]*sin(p[1]))>tol)
return true;
if (p[0]!=-1. and p[1]!=-1. and p[4]!=-1. and p[5]!=-1. and abs(p[0]*sin(p[5])-p[4]*sin(p[1]))>tol)
return true;
if (p[4]!=-1. and p[5]!=-1. and p[2]!=-1. and p[3]!=-1. and abs(p[4]*sin(p[3])-p[2]*sin(p[5]))>tol)
return true;
if (p[0]!=-1. and p[1]!=-1. and p[2]!=-1. and p[4]!=-1. and abs(p[2]*p[2]+p[4]*p[4]-2*p[2]*p[4]*cos(p[1])-p[0]*p[0])>tol)
return true;
if (p[0]!=-1. and p[2]!=-1. and p[3]!=-1. and p[4]!=-1. and abs(p[0]*p[0]+p[4]*p[4]-2*p[0]*p[4]*cos(p[3])-p[2]*p[2])>tol)
return true;
if (p[0]!=-1. and p[2]!=-1. and p[4]!=-1. and p[5]!=-1. and abs(p[2]*p[2]+p[0]*p[0]-2*p[0]*p[2]*cos(p[5])-p[4]*p[4])>tol)
return true;
return false;
}

vector<double> caseA () {
int k=0;
vector<double> q = p;
if (q[1]==-1.)
q[1] = M_PI - q[3] - q[5];
else if (q[3]==-1.)
q[3] = M_PI - q[1] - q[5];
else
q[5] = M_PI - q[1] - q[3];
if (q[0]==-1. and q[2]==-1.) {
q[0] = q[4]*sin(q[1])/sin(q[5]);
q[2] = q[4]*sin(q[3])/sin(q[5]);
}
else if (q[0]==-1. and q[4]==-1.) {
q[0] = q[2]*sin(q[1])/sin(q[3]);
q[4] = q[2]*sin(q[5])/sin(q[3]);
}
else {
q[2] = q[0]*sin(q[3])/sin(q[1]);
q[4] = q[0]*sin(q[5])/sin(q[1]);
}
return q;
}

vector<double> caseB() {
vector<double> q = p;
if (q[0]!=-1. and q[1]!=-1.) {
if (q[2]!=-1.) {
if (q[1] < M_PI/2 and q[0] < q[2] and q[0] > q[2]*sin(q[1]))
q[6] = -2;
else if (q[1] >= M_PI/2 and q[0] <= q[2] or q[1] < M_PI/2 and q[0] < q[2]*sin(q[1]))
q[6] = -1;
else {
q[3] = asin(q[2]*sin(q[1])/q[0]);
q[5] = M_PI - q[1] - q[3];
q[4] = q[0]*sin(q[5])/sin(q[1]);
}
}
else {
if (q[1] < M_PI/2 and q[0] < q[4] and q[0] > q[4]*sin(q[1]))
q[6] = -2;
else if (q[1] >= M_PI/2 and q[0] <= q[4] or q[1] < M_PI/2 and q[0] < q[4]*sin(q[1]))
q[6] = -1;
else {
q[5] = asin(q[4]*sin(q[1])/q[0]);
q[3] = M_PI - q[1] - q[5];
q[2] = q[0]*sin(q[3])/sin(q[1]);
}
}
}
else if (q[2]!=-1. and q[3]!=-1.) {
if (q[0]!=-1.) {
if (q[3] < M_PI/2 and q[2] < q[0] and q[2] > q[0]*sin(q[3]))
q[6] = -2;
else if (q[3] >= M_PI/2 and q[2] <= q[0] or q[3] < M_PI/2 and q[2] < q[0]*sin(q[3]))
q[6] = -1;
else {
q[1] = asin(q[0]*sin(q[3])/q[2]);
q[5] = M_PI - q[1] - q[3];
q[4] = q[2]*sin(q[5])/sin(q[3]);
}
}
else {
if (q[3] < M_PI/2 and q[2] < q[4] and q[2] > q[4]*sin(q[3]))
q[6] = -2;
else if (q[3] >= M_PI/2 and q[2] <= q[4] or q[3] < M_PI/2 and q[2] < q[4]*sin(q[3]))
q[6] = -1;
else {
q[5] = asin(q[4]*sin(q[3])/q[2]);
q[1] = M_PI - q[5] - q[3];
q[0] = q[2]*sin(q[1])/sin(q[3]);
}
}
}
else if (q[4]!=-1. and q[5]!=-1.) {
if (q[0]!=-1.) {
if (q[5] < M_PI/2 and q[4] < q[0] and q[4] > q[0]*sin(q[5]))
q[6] = -2;
else if (q[5] >= M_PI/2 and q[4] <= q[0] or q[5] < M_PI/2 and q[4] < q[0]*sin(q[5]))
q[6] = -1;
else {
q[1] = asin(q[0]*sin(q[5])/q[4]);
q[3] = M_PI - q[1] - q[5];
q[2] = q[4]*sin(q[3])/sin(q[5]);
}
}
else {
if (q[5] < M_PI/2 and q[4] < q[2] and q[4] > q[2]*sin(q[5]))
q[6] = -2;
else if (q[5] >= M_PI/2 and q[4] <= q[2] or q[5] < M_PI/2 and q[4] < q[2]*sin(q[5]))
q[6] = -1;
else {
q[3] = asin(q[2]*sin(q[5])/q[4]);
q[1] = M_PI - q[3] - q[5];
q[0] = q[4]*sin(q[1])/sin(q[5]);
}
}
}
return q;
}

vector<double> caseC() {
vector<double> q = p;
if (q[0]==-1.) {
q[0] = sqrt(q[2]*q[2] + q[4]*q[4] - 2*q[2]*q[4]*cos(q[1]));
if (q[2] < q[4]) {
q[3] = asin(q[2]*sin(q[1])/q[0]);
q[5] = M_PI - q[1] - q[3];
}
else {
q[5] = asin(q[4]*sin(q[1])/q[0]);
q[3] = M_PI - q[1] - q[5];
}
}
else if (q[2]==-1.) {
q[2] = sqrt(q[0]*q[0] + q[4]*q[4] - 2*q[0]*q[4]*cos(q[3]));
if (q[0] < q[4]) {
q[1] = asin(q[0]*sin(q[3])/q[2]);
q[5] = M_PI - q[1] - q[3];
}
else {
q[5] = asin(q[4]*sin(q[3])/q[2]);
q[1] = M_PI - q[5] - q[3];
}
}
else if (q[4]==-1.) {
q[4] = sqrt(q[0]*q[0] + q[2]*q[2] - 2*q[0]*q[2]*cos(q[5]));
if (q[0] < q[2]) {
q[1] = asin(q[0]*sin(q[5])/q[4]);
q[3] = M_PI - q[1] - q[5];
}
else {
q[3] = asin(q[2]*sin(q[5])/q[4]);
q[1] = M_PI - q[3] - q[5];
}
}
return q;
}

vector<double> caseD() {
double tmp;
vector<double> q = p;
tmp = (q[2]*q[2] + q[4]*q[4] - q[0]*q[0]) / (2*q[2]*q[4]);
if (abs(q[2]*q[2] + q[4]*q[4] - q[0]*q[0]) > 2*q[2]*q[4]) {
q[6] = -1;
}
else {
if (q[0]<q[2] and q[0]<q[4]) {
q[1] = acos((q[2]*q[2] + q[4]*q[4] - q[0]*q[0]) / (2*q[2]*q[4]));
if (q[2]<q[4]) {
q[3] = asin(q[2]*sin(q[1])/q[0]);
q[5] = M_PI - q[1] - q[3];
}
else {
q[5] = asin(q[4]*sin(q[1])/q[0]);
q[3] = M_PI - q[1] - q[5];
}
}
else if (q[2]<q[0] and q[2]<q[4]) {
q[3] = acos((q[0]*q[0] + q[4]*q[4] - q[2]*q[2]) / (2*q[0]*q[4]));
if (q[0]<q[4]) {
q[1] = asin(q[0]*sin(q[3])/q[2]);
q[5] = M_PI - q[1] - q[3];
}
else {
q[5] = asin(q[4]*sin(q[3])/q[2]);
q[1] = M_PI - q[5] - q[3];
}
}
else {
q[5] = acos((q[0]*q[0] + q[2]*q[2] - q[4]*q[4]) / (2*q[0]*q[2]));
if (q[0]<q[2]) {
q[1] = asin(q[0]*sin(q[5])/q[4]);
q[3] = M_PI - q[1] - q[5];
}
else {
q[3] = asin(q[2]*sin(q[5])/q[4]);
q[1] = M_PI - q[3] - q[5];
}
}
}
return q;
}

vector<double> play () {
int k, lk = 0, ak = 0;
vector<double> q (7);

for (k=0; k<6; ++k) {
if (p[k]!=-1.) {
if (k%2==0)
++lk;
else
++ak;
}
}

if (lk == 0 or lk+ak < 3 or fail_test(ak)) {
q[6] = -1;
return q;
}
if (lk == 1 and ak >= 2)
return caseA();
if (lk == 2 and ak >= 1) {
if (p[0]!=-1. and p[1]!=-1. or p[2]!=-1. and p[3]!=-1. or p[4]!=-1. and p[5]!=-1.) {
return caseB();
}
else {
return caseC();
}
}
if (lk == 3)
return caseD();
}

int main()
{
int n, k;
bool b;
vector<double> q;
cin >> n;
while (n>0) {
for (int i=0; i<6; ++i)
cin >> p[i];
q = play ();
if (q[6]==-1.)
cout << "Invalid input." << endl;
else if (q[6]==-2.) {
cout << "More than one solution." << endl;
}
else {
b = true;
for (int i=0; i<6; ++i){
if (not b)
cout << ' ';
else
b = false;
printf("%.6f",q[i]);
}
printf("\n");
}
--n;
}
}
``````

### Re: 194 - Triangle

Posted: Mon Apr 27, 2015 2:06 pm
I found my error, but I can't edit the post to delete code.

Input:

Code: Select all

``````1
52.3790777315 0.9137932778 57.2377418870 -1.0000000000 -1.0000000000 1.1820993541
``````
Otuput:

Code: Select all

``52.379078 0.913793 57.237742 1.045700 61.215192 1.182099``

### Re: 194 - Triangle

Posted: Wed Mar 16, 2016 11:52 am
WA again and again. Could anyone point out my error?

Code: Select all

``````#include <iostream>
#include <iomanip>
#include <map>
#include <cmath>

using namespace std;

const double EPSILON = 1E-7;
const double PI = 3.14159265358979323846;
const double HALF_PI = PI / 2.0;

map < char, double > paras;
map < char, bool > defined;
string variable = "aAbBcC";
bool multiSolution = false;

double acos(double a, double b, double c)
{
return acos((a * a + b * b - c * c) / (2 * a * b));
}

bool calculate()
{
if (defined['a'] && defined['b'] && defined['c'])
{
if (paras['a'] + paras['b'] <= paras['c'] ||
paras['b'] + paras['c'] <= paras['a'] ||
paras['a'] + paras['c'] <= paras['b'])
return false;

double temp = acos(paras['b'], paras['c'], paras['a']);
if (defined['A'] == false)
paras['A'] = temp;
else if (abs(temp - paras['A']) > EPSILON)
return false;

temp = acos(paras['a'], paras['c'], paras['b']);
if (defined['B'] == false)
paras['B'] = temp;
else if (abs(temp - paras['B']) > EPSILON)
return false;

temp = acos(paras['a'], paras['b'], paras['c']);

if (defined['C'] == false)
paras['C'] = temp;
else if (abs(temp - paras['C']) > EPSILON)
return false;

return true;
}

if (defined['A'] && defined['B'] && defined['C'])
{
if (abs(paras['A'] + paras['B'] + paras['C'] - PI) > 1E-4)
return false;
}
else
{
string angles[] = {"ABC", "ACB", "BCA"};
for (int i = 0; i < 3; i++)
{
string v = angles[i];

if (defined[v[0]] && paras[v[0]] >= PI ||
defined[v[1]] && paras[v[1]] >= PI ||
defined[v[2]] && paras[v[2]] >= PI)
return false;

if (defined[v[0]] && defined[v[1]] && !defined[v[2]])
{
if (paras[v[0]] + paras[v[1]] >= PI)
return false;

paras[v[2]] = PI - paras[v[0]] - paras[v[1]];
defined[v[2]] = true;
break;
}
}
}

if (defined['A'] && defined['B'] && defined['C'])
{
if (!defined['a'] && !defined['b'] && !defined['c'])
return false;

string sideAngles[] = {"aABCbc", "bBACac", "cCABab"};
for (int i = 0; i < 3; i++)
{
string v = sideAngles[i];
if (defined[v[0]])
{
double temp = paras[v[0]] / sin(paras[v[1]]) * sin(paras[v[2]]);

if (defined[v[4]] == false)
paras[v[4]] = temp;
else if (abs(temp - paras[v[4]]) > EPSILON)
return false;

temp = paras[v[0]] / sin(paras[v[1]]) * sin(paras[v[3]]);
if (defined[v[5]] == false)
paras[v[5]] = temp;
else if (abs(temp - paras[v[5]]) > EPSILON)
return false;

return true;
}
}
}

string cosines[] = {"abCcAB", "acBbAC", "bcAaBC"};
for (int i = 0; i < 3; i++)
{
string v = cosines[i];
if (defined[v[0]] && defined[v[1]] && defined[v[2]])
{
double temp = sqrt(paras[v[0]] * paras[v[0]] +
paras[v[1]] * paras[v[1]] - 2 * paras[v[0]] * paras[v[1]] * cos(paras[v[2]]));

if (defined[v[3]] == false)
paras[v[3]] = temp;
else if (abs(temp - paras[v[3]]) > EPSILON)
return false;

temp = asin(paras[v[0]] / paras[v[3]] * sin(paras[v[2]]));
if (defined[v[4]] == false)
paras[v[4]] = temp;
else if (abs(temp - paras[v[4]]) > EPSILON)
return false;

temp = PI - paras[v[2]] - paras[v[4]];
if (defined[v[5]] == false)
paras[v[5]] = temp;
else if (abs(temp - paras[v[5]]) > EPSILON)
return false;

return true;
}
}

string sines[] = { "abABCc", "baBACc", "acACBb", "caCABb", "bcBCAa", "cbCBAa" };
for (int i = 0; i < 6; i++)
{
string v = sines[i];
if (defined[v[0]] && defined[v[1]] && defined[v[2]])
{
if (paras[v[2]] >= HALF_PI && paras[v[0]] < paras[v[1]])
return false;

if (paras[v[2]] < HALF_PI && paras[v[0]] < (paras[v[1]] * sin(paras[v[2]])))
return false;

if (paras[v[2]] < HALF_PI &&
paras[v[0]] < paras[v[1]] &&
paras[v[0]] > (paras[v[1]] * sin(paras[v[2]])))
{
multiSolution = true;
return true;
}

paras[v[3]] = asin(paras[v[1]] / paras[v[0]] * sin(paras[v[2]]));
paras[v[4]] = PI - paras[v[2]] - paras[v[3]];
paras[v[5]] = paras[v[0]] / sin(paras[v[2]]) * sin(paras[v[4]]);

return true;
}
}

return false;
}

int main(int argc, char *argv[])
{
int n;
double temp;

cin >> n;
while (n--)
{
bool valid = true;
int counter = 0;
multiSolution = false;

for (int i = 0; i < variable.length(); i++)
{
cin >> temp;
paras[variable[i]] = temp;
if (temp > 0.0)
{
defined[variable[i]] = true;
counter++;
}
else if (temp == -1.0)
{
defined[variable[i]] = false;
}
else
{
valid = false;
}
}

if (counter <= 2)
valid = false;

if (valid == false || calculate() == false)
{
cout << "Invalid input.\n";
}
else if (multiSolution == true)
{
cout << "More than one solution.\n";
}
else
{
for (int i = 0; i < variable.length(); i++)
cout << (i > 0 ? " " : "") << fixed << setprecision(6) << paras[variable[i]];
cout << "\n";
}
}

return 0;
}
``````

### Re: 194 - Triangle

Posted: Thu Mar 24, 2016 5:17 pm
I found my bug by myself.