fork(1) download
  1. #include<bits/stdc++.h>
  2. using namespace std;
  3. typedef long long ll;
  4. #define mme(a,b) memset(a,b,sizeof(a));
  5. typedef long long LL;
  6. const long long mod=998244353;
  7. const int maxn=5e5+5;
  8. const int INF=0x7fffffff;
  9.  
  10. inline LL gcd(LL a, LL b) {
  11. return (!b) ? a : gcd(b, a % b);
  12. }
  13. inline void Exgcd(LL a, LL b, LL &d, LL &x, LL &y) {
  14. if (!b) {
  15. d = a, x = 1, y = 0;
  16. } else {
  17. Exgcd(b, a % b, d, y, x), y -= x * (a / b);
  18. }
  19. }
  20. inline LL Solve(LL a, LL b, LL c) {// ax%c=b S.T. (a,c)=1
  21. LL d, x, y;
  22. Exgcd(a, c, d, x, y);
  23. x = (x + c) % c;
  24. return x * b % c;
  25. }
  26. inline LL Ksm(LL x, LL y, LL p) {
  27. LL res = 1, t = x;
  28. for(; y; y >>= 1) {
  29. if (y & 1) res = res * t % p;
  30. t = t * t % p;
  31. }
  32. return res;
  33. }
  34. #define mod 1313131
  35. struct Hashset {
  36. LL head[mod], next[maxn], f[maxn], v[maxn], ind;
  37. void reset() {
  38. ind = 0;
  39. memset(head, -1, sizeof head);
  40. }
  41. void Insert(LL x, LL _v) {
  42. LL ins = x % mod;
  43. for(LL j = head[ins]; j != -1; j = next[j])
  44. if (f[j] == x) {
  45. v[j] = min(v[j], _v);
  46. return;
  47. }
  48. f[ind] = x, v[ind] = _v;
  49. next[ind] = head[ins], head[ins] = ind++;
  50. }
  51. LL operator [] (const LL &x) const {
  52. LL ins = x % mod;
  53. for(LL j = head[ins]; j != -1; j = next[j])
  54. if (f[j] == x)
  55. return v[j];
  56. return -1;
  57. }
  58. } S;
  59. LL BSGS(LL C, LL A, LL B, LL p) {// A^x%p=B S.T.(A,p)=1
  60. if (p <= 100) {
  61. LL d = 1;
  62. for(int i = 0; i < p; ++i) {
  63. if (d == B)
  64. return i;
  65. d = d * A % p;
  66. }
  67. return -1;
  68. } else {
  69. LL m = (int)sqrt(p);
  70. S.reset();
  71. LL d = 1, Search;
  72. for(int i = 0; i < m; ++i) {
  73. S.Insert(d, i);
  74. d = d * A % p;
  75. }
  76. for(int i = 0; i * m < p; ++i) {
  77. d = Ksm(A, i * m, p) * C % p;
  78. Search = S[Solve(d, B, p)];
  79. if (Search != -1)
  80. return i * m + Search;
  81. }
  82. return -1;
  83. }
  84. }
  85. int main() {
  86. LL x, z, k;
  87. register LL i, j;
  88. int t;
  89. scanf("%d",&t);
  90. while(t--) {
  91. scanf("%I64d%I64d%I64d", &x, &k, &z);
  92. LL d = 1;
  93. bool find = 0;
  94. for(i = 0; i < 100; ++i) {
  95. if (d == k) {
  96. printf("%I64d\n", i);
  97. find = 1;
  98. break;
  99. }
  100. d = d * x % z;
  101. }
  102. if (find)continue;
  103. LL t, C = 1, num = 0;
  104. bool failed = 0;
  105. while((t = gcd(x, z)) != 1) {
  106. z /= t;
  107. k /= t;
  108. C = C * x / t % z;
  109. ++num;
  110. }
  111. LL res = BSGS(C, x, k, z);
  112. if (res == -1)puts("No Solution");
  113. else printf("%I64d\n", res + num);
  114. }
  115. return 0;
  116. }
Runtime error #stdin #stdout 4.3s 37208KB
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