解题报告 『不要62(数位动规)』

匿名 (未验证) 提交于 2019-12-02 23:40:02

原题地址

又学会了骂人的新词语。

代码实现如下:

#include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for (register int i = (a); i <= (b); i++)  const int maxn = 10;  int l, r, ans, len; int num[maxn], dp[maxn][maxn];  void origin() {memset(dp, -1, sizeof(dp));}  int dfs(int pos, int limit, int lead, int is_six) {     int ans = 0;     if (!pos) return 1;     if (!limit && !lead && dp[pos][is_six] != -1) return dp[pos][is_six];     int res = limit ? num[pos] : 9;     rep(i, 0, res) {         if (i == 4 || (is_six && i == 2)) continue;         if (!i && lead) ans += dfs(pos - 1, (i == res) && limit, 0, i == 6);         else ans += dfs(pos - 1, (i == res) && limit, 1, i == 6);     }     if (!limit && !lead) dp[pos][is_six] = ans;     return ans; }  int work(int x) {     origin();     len = 0;     while (x) {         num[++len] = x % 10;         x /= 10;     }     return dfs(len, 1, 1, 0); }  void write(int x) {     if (x < 0) {         putchar('-');         x = -x;     }     if (x > 9) write(x / 10);     putchar(x % 10 + '0'); }  int main() {     while (scanf("%d%d", &l, &r) && l && r) {         write(work(r) - work(l - 1));         printf("\n");     }     return 0; }
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但实际上我更习惯顺着搜:

#include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for (register int i = (a); i <= (b); i++)  const int maxn = 10;  int l, r, ans, len; int num[maxn], dp[maxn][maxn];  void origin() {memset(dp, -1, sizeof(dp));}  int dfs(int pos, int limit, int lead, int is_six) {     int ans = 0;     if (pos > len) return 1;     if (!limit && !lead && dp[pos][is_six] != -1) return dp[pos][is_six];     int res = limit ? num[len - pos + 1] : 9;     rep(i, 0, res) {         if (i == 4 || (is_six && i == 2)) continue;         if (!i && lead) ans += dfs(pos + 1, (i == res) && limit, 0, i == 6);         else ans += dfs(pos + 1, (i == res) && limit, 1, i == 6);     }     if (!limit && !lead) dp[pos][is_six] = ans;     return ans; }  int work(int x) {     origin();     len = 0;     while (x) {         num[++len] = x % 10;         x /= 10;     }     return dfs(1, 1, 1, 0); }  void write(int x) {     if (x < 0) {         putchar('-');         x = -x;     }     if (x > 9) write(x / 10);     putchar(x % 10 + '0'); }  int main() {     while (scanf("%d%d", &l, &r) && l && r) {         write(work(r) - work(l - 1));         printf("\n");     }     return 0; }
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