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  1. #include<iostream>
  2. #include<cstdio>
  3. #include<cmath>
  4.  
  5. using namespace std;
  6.  
  7. #define ll long long
  8.  
  9. ll p,x[5],y[5],t;
  10. int i,j,tt;
  11.  
  12. ll sqr(ll x)
  13. {
  14.     return x*x;
  15. }
  16.  
  17. long double dist(ll x1, ll y1, ll x2, ll y2)
  18. {
  19.     return sqrt(sqr(x1-x2)+sqr(y1-y2));
  20. }
  21.  
  22. long double getcos(ll x1, ll y1, ll x2, ll y2, ll x3, ll y3, ll x4, ll y4)
  23. {
  24.     ll a1,b1,a2,b2;
  25.  
  26.     a1=x1-x2;
  27.     b1=y1-y2;
  28.  
  29.     a2=x3-x4;
  30.     b2=y3-y4;
  31.  
  32.     long double d1=sqrt(a1*a1+b1*b1);
  33.     long double d2=sqrt(a2*a2+b2*b2);
  34.  
  35.     return (a1*a2+b1*b2)/(d1*d2);
  36. }
  37.  
  38. void square(ll q1, ll q2, ll q3, ll q4)
  39. {
  40.     ll x1,x2,y1,y2,x3,y3,x4,y4;
  41.     long double d1,d2,d3,d4,w1,w2,w3,w4;
  42.  
  43.     if(p>0) return;
  44.     x1=x[q1];y1=y[q1];
  45.     x2=x[q2];y2=y[q2];
  46.     x3=x[q3];y3=y[q3];
  47.     x4=x[q4];y4=y[q4];
  48.  
  49.     d1=dist(x1,y1,x2,y2);
  50.     d2=dist(x2,y2,x3,y3);
  51.     d3=dist(x3,y3,x4,y4);
  52.     d4=dist(x4,y4,x1,y1);
  53.     if(d1==d2&&d2==d3&&d3==d4)
  54.     {
  55.         w1=getcos(x2,y2,x1,y1,x2,y2,x3,y3);
  56.         w2=getcos(x3,y3,x2,y2,x3,y3,x4,y4);
  57.         w3=getcos(x4,y4,x3,y3,x4,y4,x1,y1);
  58.         w4=getcos(x1,y1,x4,y4,x1,y1,x2,y2);
  59.  
  60.         if(w1==w2&&w2==w3&&w3==w4&&w4==0)p=1;
  61.     }
  62.     return;
  63. }
  64.  
  65. void rectangle(ll q1, ll q2, ll q3, ll q4)
  66. {
  67.     ll x1,x2,y1,y2,x3,y3,x4,y4;
  68.     long double d1,d2,d3,d4,w1,w2,w3,w4;
  69.  
  70.     if(p>0) return;
  71.     x1=x[q1];y1=y[q1];
  72.     x2=x[q2];y2=y[q2];
  73.     x3=x[q3];y3=y[q3];
  74.     x4=x[q4];y4=y[q4];
  75.  
  76.     d1=dist(x1,y1,x2,y2);
  77.     d2=dist(x2,y2,x3,y3);
  78.     d3=dist(x3,y3,x4,y4);
  79.     d4=dist(x4,y4,x1,y1);
  80.     if(d1==d3&&d2==d4)
  81.     {
  82.         w1=getcos(x2,y2,x1,y1,x2,y2,x3,y3);
  83.         w2=getcos(x3,y3,x2,y2,x3,y3,x4,y4);
  84.         w3=getcos(x4,y4,x3,y3,x4,y4,x1,y1);
  85.         w4=getcos(x1,y1,x4,y4,x1,y1,x2,y2);
  86.  
  87.         if(w1==w2&&w2==w3&&w3==w4&&w4==0)p=2;
  88.     }
  89.     return;
  90. }
  91.  
  92. void rhombus(ll q1, ll q2, ll q3, ll q4)
  93. {
  94.     ll x1,x2,y1,y2,x3,y3,x4,y4;
  95.     long double d1,d2,d3,d4,w1,w2,w3,w4;
  96.  
  97.     if(p>0) return;
  98.     x1=x[q1];y1=y[q1];
  99.     x2=x[q2];y2=y[q2];
  100.     x3=x[q3];y3=y[q3];
  101.     x4=x[q4];y4=y[q4];
  102.  
  103.     d1=dist(x1,y1,x2,y2);
  104.     d2=dist(x2,y2,x3,y3);
  105.     d3=dist(x3,y3,x4,y4);
  106.     d4=dist(x4,y4,x1,y1);
  107.     if(d1==d2&&d2==d3&&d3==d4)
  108.     {
  109.         w1=getcos(x2,y2,x1,y1,x2,y2,x3,y3);
  110.         w2=getcos(x3,y3,x2,y2,x3,y3,x4,y4);
  111.         w3=getcos(x4,y4,x3,y3,x4,y4,x1,y1);
  112.         w4=getcos(x1,y1,x4,y4,x1,y1,x2,y2);
  113.  
  114.         if(w1==w3&&w2==w4)p=3;
  115.     }
  116.     return;
  117. }
  118.  
  119. void parallelogram(ll q1, ll q2, ll q3, ll q4)
  120. {
  121.     ll x1,x2,y1,y2,x3,y3,x4,y4;
  122.     long double d1,d2,d3,d4,w1,w2,w3,w4;
  123.  
  124.     if(p>0) return;
  125.     x1=x[q1];y1=y[q1];
  126.     x2=x[q2];y2=y[q2];
  127.     x3=x[q3];y3=y[q3];
  128.     x4=x[q4];y4=y[q4];
  129.  
  130.     d1=dist(x1,y1,x2,y2);
  131.     d2=dist(x2,y2,x3,y3);
  132.     d3=dist(x3,y3,x4,y4);
  133.     d4=dist(x4,y4,x1,y1);
  134.     if(d1==d3&&d2==d4)
  135.     {
  136.         w1=getcos(x2,y2,x1,y1,x2,y2,x3,y3);
  137.         w2=getcos(x3,y3,x2,y2,x3,y3,x4,y4);
  138.         w3=getcos(x4,y4,x3,y3,x4,y4,x1,y1);
  139.         w4=getcos(x1,y1,x4,y4,x1,y1,x2,y2);
  140.  
  141.         if(w1==w3&&w2==w4)p=4;
  142.     }
  143.     return;
  144. }
  145.  
  146. int main()
  147. {
  148.     scanf("%d", &t);
  149.     for(tt=0;tt<t;tt++)
  150.     {
  151.         p=0;
  152.         scanf("%lld%lld%lld%lld%lld%lld%lld%lld", &x[1], &y[1], &x[2], &y[2], &x[3], &y[3], &x[4], &y[4]);
  153.  
  154.         for(i=1;i<4;i++)
  155.             if(p==0)
  156.             for(j=i+1;j<5;j++)
  157.                 if(x[i]==x[j]&&y[i]==y[j])
  158.                 {
  159.                     p=5;
  160.                     break;
  161.                 }
  162.  
  163.         square(1,2,3,4);square(1,2,4,3);square(1,3,2,4);square(1,3,4,2);square(1,4,2,3);square(1,4,3,2);
  164.         square(2,1,3,4);square(2,1,4,3);square(2,3,1,4);square(2,3,4,1);square(2,4,1,3);square(2,4,3,1);
  165.         square(3,1,2,4);square(3,1,4,2);square(3,2,1,4);square(3,2,4,1);square(3,4,1,2);square(3,4,2,1);
  166.         square(4,1,2,3);square(4,1,3,2);square(4,2,1,3);square(4,2,3,1);square(4,3,1,2);square(4,3,2,1);
  167.  
  168.         rectangle(1,2,3,4);rectangle(1,2,4,3);rectangle(1,3,2,4);rectangle(1,3,4,2);rectangle(1,4,2,3);rectangle(1,4,3,2);
  169.         rectangle(2,1,3,4);rectangle(2,1,4,3);rectangle(2,3,1,4);rectangle(2,3,4,1);rectangle(2,4,1,3);rectangle(2,4,3,1);
  170.         rectangle(3,1,2,4);rectangle(3,1,4,2);rectangle(3,2,1,4);rectangle(3,2,4,1);rectangle(3,4,1,2);rectangle(3,4,2,1);
  171.         rectangle(4,1,2,3);rectangle(4,1,3,2);rectangle(4,2,1,3);rectangle(4,2,3,1);rectangle(4,3,1,2);rectangle(4,3,2,1);
  172.  
  173.         rhombus(1,2,3,4);rhombus(1,2,4,3);rhombus(1,3,2,4);rhombus(1,3,4,2);rhombus(1,4,2,3);rhombus(1,4,3,2);
  174.         rhombus(2,1,3,4);rhombus(2,1,4,3);rhombus(2,3,1,4);rhombus(2,3,4,1);rhombus(2,4,1,3);rhombus(2,4,3,1);
  175.         rhombus(3,1,2,4);rhombus(3,1,4,2);rhombus(3,2,1,4);rhombus(3,2,4,1);rhombus(3,4,1,2);rhombus(3,4,2,1);
  176.         rhombus(4,1,2,3);rhombus(4,1,3,2);rhombus(4,2,1,3);rhombus(4,2,3,1);rhombus(4,3,1,2);rhombus(4,3,2,1);
  177.  
  178.         parallelogram(1,2,3,4);parallelogram(1,2,4,3);parallelogram(1,3,2,4);parallelogram(1,3,4,2);parallelogram(1,4,2,3);parallelogram(1,4,3,2);
  179.         parallelogram(2,1,3,4);parallelogram(2,1,4,3);parallelogram(2,3,1,4);parallelogram(2,3,4,1);parallelogram(2,4,1,3);parallelogram(2,4,3,1);
  180.         parallelogram(3,1,2,4);parallelogram(3,1,4,2);parallelogram(3,2,1,4);parallelogram(3,2,4,1);parallelogram(3,4,1,2);parallelogram(3,4,2,1);
  181.         parallelogram(4,1,2,3);parallelogram(4,1,3,2);parallelogram(4,2,1,3);parallelogram(4,2,3,1);parallelogram(4,3,1,2);parallelogram(4,3,2,1);
  182.  
  183.         if(p==1)printf("SQUARE\n");else
  184.         if(p==2)printf("RECTANGLE\n");else
  185.         if(p==3)printf("RHOMBUS\n");else
  186.         if(p==4)printf("PARALLELOGRAM\n");else
  187.         if(p==0)printf("QUADRILATERAL\n");else
  188.                 printf("NONE\n");
  189.     }
  190.     return 0;
  191. }
  192.  
Success #stdin #stdout 0s 3360KB
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https://ideone.com/Oop4cw
language:
C++ (gcc 8.3)
created:
10 years ago
visibility:
public

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