给出一段区间a-b,统计这个区间内0-9出现的次数。
数位dp
#include <bits/stdc++.h>
#include <iostream>
#include <string.h>
#include <math.h>
using namespace std;
typedef long long ll;
const ll mod = 1e9 + 7;
const int maxn = 22;
int digit[maxn], tot, d;
ll dp[maxn][22][22];
ll dfs(int len, int top, int sum, int limit, int p) {
if (!len) return sum;
if (!limit && dp[len][top][sum] != -1) return dp[len][top][sum];
int up = (limit?digit[len]:9);
ll res = 0;
for (int i = 0; i <= up; i++) {
if(top == 0) {
if (i == 0) {
res += dfs(len - 1, i, sum, (limit && (i == up)), p);
} else {
res += dfs(len - 1, i, sum + (i == p), (limit && (i == up)), p);
}
} else {
res += dfs(len - 1, top, sum + (i == p), (limit && (i == up)), p);
}
}
if (!limit) dp[len][top][sum] = res;
return res;
}
ll ans[10][2];
void solve(ll n, int p) {
tot = 0;
while (n) {
digit[++tot] = n % 10; n /= 10;
}
for (int i = 0; i <= 9; i++) {
memset(dp, -1, sizeof(dp));
ans[i][p] = dfs(tot, 0, 0, 1, i);
}
}
int main() {
//freopen("in.in", "r", stdin);
// freopen("o2.out", "w", stdout);
ll l, r;
cin >> l >> r;
solve(r, 1);solve(l - 1, 0);
for (int i = 0; i <= 9; i++) {
cout << ans[i][1] - ans[i][0] << endl;
}
return 0;
} 
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