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  1. //Copyright @ 2012 Nirwan Dogra, All Rights Reserved.......
  2. #include<algorithm>
  3. #include<stack>
  4. #include<set>
  5. #include<map>
  6. #include<queue>
  7. #include<deque>
  8. #include<string>
  9. #include<iostream>
  10. #include<cstring>
  11. #include<cassert>
  12. #include<cstdlib>
  13. #include<sstream>
  14. #include<bitset>
  15. #include<cstdio>
  16. #include<cmath>
  17. #include<ctime>
  18. #include<string>
  19. #include <stdio.h>
  20. #include <stdlib.h>
  21. //////////definitions
  22. #define pi pair<int,int>
  23. #define pii pair<pi,int>
  24. #define St set<int>
  25. #define Vec vector<int>
  26. #define Qu queue<int>
  27. #define Map map<int ,int>
  28. #define l long
  29. #define ll long long
  30. #define forr(i,n) for(int i=0;i<n;i++)
  31. #define S(n) scanf("%d",&n)
  32. #define P(n) printf("%d\n",n)
  33. #define C(n) cin>>n
  34. #define Set(a) memset(a,0,sizeof a)
  35. #define pb push_back
  36. #define CO(n) cout<<n<<endl;
  37. //#define MOD 1000000007
  38. #define inf 1000000007
  39.  
  40. using namespace std;
  41. ///int dp[][][];
  42. //power function
  43. ll powmod( ll b, ll p,ll m )
  44. {
  45.    // if(dp[b][p][m]!=0){return dp[b][p][m];}
  46.     ll r = 1;
  47.     for( int i = ( 1 << 30 ); i; i >>= 1 )
  48.     {
  49.         r *= r; r %= m;
  50.         if( p & i ) { r *= b; r %= m; }
  51.     }
  52.     return (ll)r;
  53. }
  54.  
  55. //////my debugger
  56. struct debugger
  57. {
  58.     template<typename T> debugger& operator , (const T& v)
  59. 	{
  60. 		cerr<<v<<" ";
  61. 		return *this;
  62. 	}
  63. } dbg;
  64.  
  65. void debugger(int * arr,int n)
  66. {
  67. 	cout<<"[";
  68. 	for(int i=0;i<n;i++)
  69. 		cout<<arr[i]<<" ";
  70. 	cout<<"]"<<endl;
  71. }
  72.  
  73. ////main code begins now...........
  74. //ll int mod=P-1;
  75. ll int sum=0;int N,R;//ll int MOD
  76. ll int A,B;
  77. ll int P=1000000007;
  78. ll int PHI_MOD=500000003;
  79.  
  80. ll int NCR(ll int MOD)
  81. {
  82. 	ll int num=1;int denom=1;N=2*N;
  83. for(int i=1;i<=R;i++){num=(num*(N-i+1))%MOD;denom=(denom*(i))%MOD;}//.........Both the loops calculate the NCR MOD some value.
  84.  
  85. ll int inverse=powmod(denom,MOD-2,MOD);
  86. num=((num%MOD)*inverse)%MOD;
  87. //CO(num);
  88. return num;
  89. }
  90.  
  91. ll int CRT()
  92. {
  93. 	ll int X;ll int z;
  94. 	///CO(z);
  95. z=NCR(PHI_MOD);////N===expMOD(PHI_MOD);
  96. //CO(z);
  97. ll int y=1;///////////N===1mod2
  98. //Now solve for X congruent to 1 mod 2   and X congruent to z mod  phi_mod and return the value of X
  99.  
  100. X=(((powmod(PHI_MOD,PHI_MOD-1,P-1)*PHI_MOD)%(P-1))+((z*powmod(2,PHI_MOD-1,P-1))%(P-1)))%(P-1);
  101.  
  102. return X;
  103. }
  104. int main()
  105. {
  106. //freopen("in.txt","r",stdin);
  107. int t;
  108. C(t);
  109. while(t--)
  110. {
  111. 	C(A>>B>>N;);
  112. 	R=N;	
  113. ll int ans1=CRT();  
  114. ll int ans2=powmod(ans1,B,P-1);
  115. ll int ret=powmod(A,ans1,P);
  116. CO(ret%P);
  117. }
  118. return 0;
  119. }
  120.  
Runtime error #stdin #stdout 0.29s 2732KB
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https://ideone.com/t29P3j
language:
C++ (gcc 8.3)
created:
11 years ago
visibility:
public

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