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- #include<bits/stdc++.h>
- using namespace std;
- typedef long long ll;
- typedef unsigned long long ull;
- #define testcase int t; cin>>t; while (t--)
- #define sc(a) scanf("%lld",&a)
- #define sc2(a,b) scanf("%lld %lld",&a,&b)
- #define reversed(s) reverse(s.begin(), s.end())
- #define asort(s) sort(s.begin(), s.end())
- #define dsort(s) sort(s.begin(), s.end(),greater<ll>())
- #define gtl(x) getline(cin, (x))
- #define PI acos(-1)
- #define Precision(a) cout << fixed << setprecision(a)
- #define FasterIo ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
- #define endl "\n"
- template <typename T> T Sqr(T x) { T n = x * x ; return n ;}
- template <typename T> T Pow(T B,T P){ if(P==0) return 1; if(P&1) return B*Pow(B,P-1); else return Sqr(Pow(B,P/2));}
- template <typename T> T Abs(T a) {if(a<0)return -a;else return a;}
- template <typename T> T Gcd(T a,T b){if(a<0)return Gcd(-a,b);if(b<0)return Gcd(a,-b);return (b==0)?a:Gcd(b,a%b);}
- template <typename T> T Lcm(T a,T b) {if(a<0)return Lcm(-a,b);if(b<0)return Lcm(a,-b);return a*(b/Gcd(a,b));}
- int main()
- {
- FasterIo
- int cas=1;
- double x=0;
- vector <double> loog(1000005);
- for(int i=1; i<=1000000; i++)
- {
- x+=log(i);
- loog[i]=x;
- //loog[i] = log(i) + loog[i-1];
- //x+=log2(i);
- //loog.push_back(x);
- }
- testcase
- {
- int n, b;
- cin >> n >> b;
- ll ans = (loog[n]/log(b))+1;
- printf("Case %d: %d\n", cas++, ans);
- }
- return 0;
- }
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