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  1. #include <iostream>
  2. #include <vector>
  3. #include <string>
  4. #include <algorithm>
  5. #include <stdio.h>
  6. using namespace std;
  7. long long mod = 1e9+7;
  8.  
  9. class rational
  10. {
  11. public:
  12.     long long nom; long long denom;
  13. 	rational (long long a) {nom=a, denom=1;}
  14. 	rational (long long a, long long b) {nom=a, denom=b;}
  15. 	rational () {nom=1, denom=1;}
  16. };
  17.  
  18. long long gcd(long long a, long long b)
  19. {
  20. 	if (a==0) return b;
  21. 	return gcd(b%a, a);
  22. }
  23.  
  24. rational reduce (rational a)
  25. {
  26. 	long long g=gcd(a.nom, a.denom);
  27. 	a.nom/=g; a.denom/=g;
  28. 	return a;
  29. }
  30.  
  31. rational operator +(rational a, rational b)
  32. {
  33. 	rational c(a.nom*b.denom+b.nom*a.denom, a.denom*b.denom);
  34. 	c=reduce (c);
  35. 	return c;
  36. }
  37.  
  38. rational operator * (rational a, rational b)
  39. {
  40. 	rational c(a.nom*b.nom, a.denom*b.denom);
  41. 	c=reduce (c);
  42. 	return c;
  43. }
  44.  
  45.  
  46.  
  47. int main()
  48. {
  49. 	long long t; cin>>t;
  50. 	for (long long z=0; z<t; ++z)
  51. 	{
  52. 		long long a, b; cin>>a>>b;
  53. 		if (a>b) swap(a,b);
  54. 		rational ans;
  55. 		if (a==1) 
  56. 		{
  57. 			if (b==2) ans=2;
  58. 			if (b==3) ans=2;
  59. 			if (b==4) ans=3;
  60. 			if (b>=5) {rational prob_m(3,4), prob_e(1,2), prob_c(1,1); ans = 2*prob_e + 2*prob_c + (b-4)*prob_m;}
  61. 		}
  62.  
  63.  
  64. 		if (a==2)
  65. 		{
  66. 			if (b==2) ans=3;
  67. 			if (b==3) {rational prob(13,3); ans = prob;}
  68. 			if (b==4) {rational prob(52,9); ans = prob;}
  69. 			if (b>=5) {rational prob_m(19,27), prob_e(2,3), prob_c(7,9); ans = 4*prob_e + 4*prob_c + 2*(b-4)*prob_m;}
  70. 		}
  71.  
  72. 		if (a==3)
  73. 		{
  74. 			if (b==3) {rational prob(515,81); ans = prob;}
  75. 			if (b==4) {rational prob(77,9); ans = prob;}
  76. 			if (b>=5) {rational prob(77,9), prob1(2,3), prob2(3,4); ans = prob + (b-4)*2*prob1 + (b-4)*prob2;}
  77. 		}
  78.  
  79. 		if (a==4)
  80. 		{
  81. 			if (b==4) {rational prob(101,9); ans = prob;}
  82. 			if (b>=5) {rational prob(101,9), prob1(2,3), prob2(23,32); ans = prob + 2*(b-4)*prob1 + 2*(b-4)*prob2;}
  83. 		}
  84.  
  85. 		if (a>=5)
  86. 		{
  87. 			{rational prob(101,9), prob1(2,3), prob2(23,32); ans = prob + (2*(a-4)+2*(b-4))*prob1 + (2*(a-4)+2*(b-4))*prob2;    rational prob3(175, 256); ans = ans+(a-4)*(b-4)*prob3;}
  88. 		}
  89.  
  90.  
  91. 		ans=reduce (ans);
  92.  
  93. 		if (ans.denom==1) {cout<<ans.nom<<"\n";}
  94. 		else {cout<<ans.nom<<"/"<<ans.denom<<"\n";}
  95. 	}
  96.  
  97. }
Runtime error #stdin #stdout 0.01s 2864KB
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https://ideone.com/x29XfD
language:
C++14 (gcc 8.3)
created:
11 years ago
visibility:
public

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