题目链接

一个数称为平衡数, 满足他各个数位里面的数, 奇数出现偶数次, 偶数出现奇数次, 求一个范围内的平衡数个数。

用三进制压缩, 一个数没有出现用0表示, 出现奇数次用1表示, 出现偶数次用2表示, 这样只需要开一个20*60000的数组。

 #include<bits/stdc++.h>
using namespace std;
#define pb(x) push_back(x)
#define ll long long
#define mk(x, y) make_pair(x, y)
#define lson l, m, rt<<1
#define mem(a) memset(a, 0, sizeof(a))
#define rson m+1, r, rt<<1|1
#define mem1(a) memset(a, -1, sizeof(a))
#define mem2(a) memset(a, 0x3f, sizeof(a))
#define rep(i, a, n) for(int i = a; i<n; i++)
#define ull unsigned long long
typedef pair<int, int> pll;
const double PI = acos(-1.0);
const double eps = 1e-;
const int mod = 1e9+;
const int inf = ;
const int dir[][] = { {-, }, {, }, {, -}, {, } };
int digit[], a[];
ll dp[][];
int judge(int num) {
int cnt = ;
for(int i = ; i<; i++) {
a[i] = num%;
num/=;
}
for(int i = ; i<; i++) {
if(i%==&&a[i]==)
return ;
if(i%==&&a[i]==)
return ;
}
return ;
}
int cal(int num, int tmp) {
int cnt = ;
for(int i = ; i<; i++) {
a[i] = num%;
num/=;
}
a[tmp]++;
if(a[tmp]==)
a[tmp]=;
for(int i = ; i>=; i--) {
num = num*+a[i];
}
return num;
}
ll dfs(int len, int num, int fp, bool first) {
if(!len) {
return judge(num);
}
if(!fp&&dp[len][num]!=-) {
return dp[len][num];
}
ll ret = ;
int maxx = fp?digit[len]:;
for (int i = ; i<=maxx; i++) {
ret += dfs(len-, (first&&i==)?:cal(num, i), fp&&i==maxx, i==&&first);
}
if(!fp)
return dp[len][num] = ret;
return ret;
}
ll cal(ll n) {
int len = ;
while(n) {
digit[++len] = n%;
n/=;
}
return dfs(len, , , true);
}
int main()
{
mem1(dp);
int t;
ll a, b;
cin>>t;
while(t--) {
scanf("%lld%lld", &a, &b); //I64d会超时......
printf("%lld\n", cal(b)-cal(a-));
}
}

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