EOJ 2019.2月赛 D. 进制转换
https://acm.ecnu.edu.cn/contest/140/problem/D/
题意
求一个区间L,R中,在K进制表示下末尾恰有m个0的数字个数。
思路
末尾有m个0,就表示的是K^m的倍数,基本容斥,就是ans = X / (K ^m ) - X / (K ^(m+1));
![](https://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif)
#include <algorithm> #include <iterator> #include <iostream> #include <cstring> #include <cstdlib> #include <iomanip> #include <bitset> #include <cctype> #include <cstdio> #include <string> #include <vector> #include <stack> #include <cmath> #include <queue> #include <list> #include <map> #include <set> #include <cassert> using namespace std; #define lson (l, mid, rt << 1) #define rson (mid + 1, r, rt << 1 | 1) #define debug(x) cerr << #x << " = " << x << "\n"; #define pb push_back #define pq priority_queue typedef long long ll; typedef long double ld; typedef unsigned long long ull; //typedef __int128 bll; typedef pair<ll, ll> pll; typedef pair<int, int> pii; typedef pair<int, pii> p3; //priority_queue<int> q;//这是一个大根堆q //priority_queue<int,vector<int>,greater<int> >q;//这是一个小根堆q #define fi first #define se second //#define endl '\n' #define boost \ ios::sync_with_stdio(false); \ cin.tie(0) #define rep(a, b, c) for (int a = (b); a <= (c); ++a) #define max3(a, b, c) max(max(a, b), c); #define min3(a, b, c) min(min(a, b), c); const ll oo = 1ll << 17; const ll mos = 0x7FFFFFFF; //2147483647 const ll nmos = 0x80000000; //-2147483648 const int inf = 0x3f3f3f3f; const ll inff = 0x3f3f3f3f3f3f3f3f; //18 const int mod = 1e9 + 7; const double esp = 1e-8; const double PI = acos(-1.0); const double PHI = 0.61803399; //黄金分割点 const double tPHI = 0.38196601; template <typename T> inline T read(T &x) { x = 0; int f = 0; char ch = getchar(); while (ch < '0' || ch > '9') f |= (ch == '-'), ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x = f ? -x : x; } inline void cmax(int &x, int y) { if (x < y) x = y; } inline void cmax(ll &x, ll y) { if (x < y) x = y; } inline void cmin(int &x, int y) { if (x > y) x = y; } inline void cmin(ll &x, ll y) { if (x > y) x = y; } /*-----------------------showtime----------------------*/ ll solve(int k, int m, ll x) { ll a = x, b = x; for (int i = 1; i <= m; i++) { a = a / k; b = b / k; } b = b / k; return a - b; } int main() { int T; scanf("%d", &T); while (T--) { ll l, r; int k, m; cin >> l >> r >> k >> m; cout << solve(k, m, r) - solve(k, m, l - 1) << endl; } return 0; }
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