题目大意:
现在题目被加密了, 给出加密后的串
hjxh dwh v vxxpde,mmo ijzr yfcz hg pbzrxdvgqij rid stl mc zspm vfvuu vb uwu spmwzh.
一直前面4个词是give you a number, 出题人说自己只会Fibonacci...
解密这一段文字然后写程序
大致思路:
既然出题人说自己只会Fibonacci, 脑洞一下这个提议, 注意到前几个字母: (h, g), (j, i), (x, v)..差距依次是1, 1, 2, 3, 5, 8....于是猜想字符差距是Fibonacci数, 以26为循环节即可
得到解密之后的题面是:give you a number,and your task is calculating the sum of each digit in the number
于是就是个无聊的求按位之和的题了, 注意n是long long 范围当n取-2^63的时候转正整数的long long会出错就行了
代码如下:
Result : Accepted Memory : 1672 KB Time : 0 ms
/* * this code is made by Gatevin * Problem: 1069 * Verdict: Accepted * Submission Date: 2015-09-13 22:10:16 * Time: 0MS * Memory: 1672KB */ /* * Author: Gatevin * Created Time: 2015/9/12 12:12:47 * File Name: Sakura_Chiyo.cpp */ #include<iostream> #include<sstream> #include<fstream> #include<vector> #include<list> #include<deque> #include<queue> #include<stack> #include<map> #include<set> #include<bitset> #include<algorithm> #include<cstdio> #include<cstdlib> #include<cstring> #include<cctype> #include<cmath> #include<ctime> #include<iomanip> using namespace std; const double eps(1e-8); typedef long long lint; typedef unsigned long long ulint; /* * hjxh dwh v vxxpde,mmo ijzr yfcz hg pbzrxdvgqij rid stl mc zspm vfvuu vb uwu spmwzh * give you a number * h - g = 1 * j - i = 1 * x - v = 2 * h - e = 3 * d - y = 26 + d - y = 5 * w - o = 8 * 猜想, 解密需要将所有字符加上Fibonacci数取模26得到, 前两项是1 1 */ int fib[100]; int main() { //freopen("out.out", "w", stdout); fib[0] = fib[1] = 1; string s = "hjxh dwh v vxxpde,mmo ijzr yfcz hg pbzrxdvgqij rid stl mc zspm vfvuu vb uwu spmwzh"; for(int i = 2, sz = s.length(); i < sz; i++) fib[i] = (fib[i - 1] + fib[i - 2]) % 26; int num = 0; for(int i = 0, sz = s.length(); i < sz; i++) if(s[i] != ' ' && s[i] != ',') s[i] = ((s[i] - 'a') - fib[num++] + 26) % 26 + 'a'; //cout<<s<<endl; //s = "give you a number,and your task is calculating the sum of each digit in the number"; lint n; while(scanf("%lld", &n) != EOF) { ulint N; if(n < 0) { N = (ulint)(-(n + 1)) + 1uLL; } else N = n; ulint ans = 0; while(N) { ans += N % 10uLL; N /= 10uLL; } printf("%llu\n", ans); } return 0; }