题意:已知n,问满足条件"x的各个数字之和+x=n"的x有几个并按升序输出。
分析:
1、n最大1e9,10位数,假设每一位都为9的话,可知x的各个数字之和最大可以贡献90。
2、枚举n-90~90即可。
#include<cstdio> #include<cstring> #include<cstdlib> #include<cctype> #include<cmath> #include<iostream> #include<sstream> #include<iterator> #include<algorithm> #include<string> #include<vector> #include<set> #include<map> #include<stack> #include<deque> #include<queue> #include<list> #define lowbit(x) (x & (-x)) const double eps = 1e-8; inline int dcmp(double a, double b){ if(fabs(a - b) < eps) return 0; return a > b ? 1 : -1; } typedef long long LL; typedef unsigned long long ULL; const int INT_INF = 0x3f3f3f3f; const int INT_M_INF = 0x7f7f7f7f; const LL LL_INF = 0x3f3f3f3f3f3f3f3f; const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f; const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1}; const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1}; const int MOD = 1e9 + 7; const double pi = acos(-1.0); const int MAXN = 10000 + 10; const int MAXT = 10000 + 10; using namespace std; char s[20]; vector<int> ans; int main(){ int n; scanf("%d", &n); int cnt = 0; for(int i = n - 90; i <= n; ++i){ if(i < 0) continue; sprintf(s, "%d", i); int len = strlen(s); int sum = i; for(int j = 0; j < len; ++j){ sum += s[j] - '0'; } if(sum == n){ ans.push_back(i); } } int l = ans.size(); printf("%d ", l); for(int i = 0; i < l; ++i){ if(i) printf(" "); printf("%d", ans[i]); } printf(" "); return 0; }