HDU 5676 ztr loves lucky numbers
这题可以打表+二分,也可以直接构造答案输出。
打表+二分不多说了,暴力dfs一下就可以。
构造法:
如果输入的数字位数是奇数,那么输出比他多一位的最小值。例如输入12345,输出444777
剩下的情况都是位数是偶数的:
如果输入的数字比这个位数下能组成的最大值还大,那么输出多两位的最小值。例如,输入9999,输出444777
剩下的情况都是用当前位数能构造出来的:从高位往低位构造,一位一位确定。
对于构造法不能AC的深表同情,后台数据有输入为0的,请直接输出47。
构造法:
#include<cstdio> #include<cstring> #include<cmath> #include<algorithm> using namespace std; long long a[250]; long long ans[250]; int main() { int T; scanf("%d", &T); while (T--) { long long n; scanf("%lld", &n); if (n == 0) { printf("47\n"); continue; } int len = 0; long long tmp = n; while (tmp>0) a[len++] = tmp % 10, tmp = tmp / 10; if (len % 2 == 1) { for (int i = 1; i <= (len + 1) / 2; i++) printf("4"); for (int i = 1; i <= (len + 1) / 2; i++) printf("7"); printf("\n"); continue; } else { long long num = 0; for (int i = 1; i <= len / 2; i++) num = num * 10 + 7; for (int i = 1; i <= len / 2; i++) num = num * 10 + 4; if (n>num) { for (int i = 1; i <= len / 2 + 1; i++) printf("4"); for (int i = 1; i <= len / 2 + 1; i++) printf("7"); printf("\n"); continue; } else { int ss = len / 2, sq = len / 2, u = 0; for (int i = len - 1; i >= 0; i--) { if (a[i]<4) { if (ss>0) ans[u++] = 4, ss--; else ans[u++] = 7, sq--; break; } else if (a[i] == 4) { long long b = 0; if (ss>0) { ans[u++] = 4; ss--; for (int k = 0; k<u; k++) b = b * 10 + ans[k]; for (int k = 0; k<sq; k++)b = b * 10 + 7; for (int k = 0; k<ss; k++)b = b * 10 + 4; if (b<n) { ss++; ans[u - 1] = 7; sq--; break; } } else { ans[u++] = 7, sq--; break; } } else if (a[i]>4 && a[i]<7) { ans[u++] = 7; sq--; break; } else if (a[i] == 7) { ans[u++] = 7; sq--; } } for (int k = 0; k<u; k++) printf("%lld", ans[k]); for (int k = 0; k<ss; k++) printf("4"); for (int k = 0; k<sq; k++) printf("7"); printf("\n"); } } } return 0; }
打表+二分:
#include<cstdio> #include<cstring> #include<cmath> #include<algorithm> using namespace std; const int maxn=1000000; long long a[maxn]; int z; void dfs(int tot,long long num,int si,int qi) { if(num!=0&&si==qi&&tot%2==0) a[z++]=num; if(tot==18) return; dfs(tot+1,num*10+4,si+1,qi); dfs(tot+1,num*10+7,si,qi+1); } int main() { z=0; dfs(0,0,0,0); sort(a,a+z); int T; scanf("%d",&T); while(T--) { long long n; scanf("%lld",&n); if(n>777777777444444444) { printf("44444444447777777777\n");continue;} long long ans; int l=0,r=z-1; while(l<=r) { int mid=(l+r)/2; if(a[mid]>=n) r=mid-1,ans=a[mid]; else l=mid+1; } printf("%lld\n",ans); } return 0; }