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     1 #include <iostream>
     2 #include <algorithm>
     3 #include <cstring>
     4 #include <cstdio>
     5 #include <string>
     6 #include <map>
     7 #include <cmath>
     8 #include <vector>
     9 
    10 #define Faster ios::sync_with_stdio(false),cin.tie(0)
    11 #define Read freopen("in.txt","r",stdin),freopen("out.txt","w",stdout)
    12 #define Close fclose(stdin),fclose(stdout)
    13 const int maxn = 1e4 + 5;
    14 using namespace std;
    15 const int MOD = 1e9+7;
    16 typedef long long ll;
    17 
    18 ll dp[20][20][2000];
    19 int a[20];
    20 
    21 ll dfs(int pos, int cut, int sum, bool limit){
    22     if (pos == -1) return sum?0:1;    //sum为0的时候说明是平衡的
    23     if (sum < 0) return 0;    //sum < 0 就肯定不平衡了返回0
    24     if(!limit && dp[pos][cut][sum] != -1)
    25         return dp[pos][cut][sum];
    26     int up = limit?a[pos]:9;
    27     ll ans = 0;
    28     for(int i = 0; i <= up;i++){
    29         ans += dfs(pos-1, cut, sum + (pos-cut)*i, limit && a[pos] == i);
    30     }
    31     if(!limit)
    32         dp[pos][cut][sum] = ans;
    33     return ans;
    34 }
    35 
    36 ll solve(ll x){
    37     int pos = 0;
    38     while(x){
    39         a[pos++] = x%10;
    40         x /= 10;
    41     }
    42     ll ans = 0;
    43     for(int i = 0;i < pos;i++){
    44         ans += dfs(pos-1, i, 0, true);
    45     }
    46     return ans - pos + 1;
    47     //因为0多加了(pos - 1)次
    48 }
    49 
    50 int main(){
    51     Faster;
    52     int t;
    53     cin >> t;
    54     memset(dp, -1, sizeof(dp));
    55     while(t--){
    56         ll l, r;
    57         cin >> l >> r;
    58         ll ans = solve(r) - solve(l-1);
    59         cout << ans << endl;
    60     }
    61     return 0;
    62 }
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  • 原文地址:https://www.cnblogs.com/ouyang_wsgwz/p/9141746.html
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