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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#591218 | #2519. Number with Bachelors | CSQ | TL | 5ms | 12084kb | C++23 | 4.4kb | 2024-09-26 14:49:58 | 2024-09-26 14:49:58 |
Judging History
answer
//#pragma GCC target ("avx2")
//#pragma GCC optimization ("O3")
//#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=a;i<b;++i)
#define all(x) begin(x),end(x)
#define sz(x) (int)(x).size()
typedef unsigned long long int ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
ll dp[11][1024]; //if I have i digits left and mask denotes the digit used, how many assignments?
ll hp[17][65536];
ll P[20][20];
ll find(ll n){
if(n == 0)return 1;
vector<int>v;
while(n){
v.push_back(n%10);
n/=10;
}
reverse(all(v));
n = sz(v);
ll ans = 1;
int mask = 0;
for(int i=1;i<n;i++)ans += P[10][i] - P[9][i-1];
for(int i=0;i<n;i++){
if(!i){
if(v[i]>1){
ll c = dp[v[i]-1][mask];
ans += (c-1) * P[10-i-1][n-i-1];
}
}else if(v[i]){
ll c = dp[v[i]-1][mask];
ans += c * P[10-i-1][n-i-1];
}
if(mask & (1<<v[i]))break;
mask |= (1<<v[i]);
if(i==n-1)ans++;
}
return ans;
}
ll find2(ll n){
if(n == 0)return 1;
vector<int>v;
while(n){
v.push_back(n%16);
n/=16;
}
reverse(all(v));
n = sz(v);
ll ans = 1;
int mask = 0;
for(int i=1;i<n;i++)ans += P[16][i] - P[15][i-1];
for(int i=0;i<n;i++){
if(!i){
if(v[i]>1){
ll c = hp[v[i]-1][mask];
ans += (c-1) * P[16-i-1][n-i-1];
}
}else if(v[i]){
ll c = hp[v[i]-1][mask];
ans += c * P[16-i-1][n-i-1];
}
if(mask & (1<<v[i]))break;
mask |= (1<<v[i]);
if(i==n-1)ans++;
}
return ans;
}
ll condec(string s0){
ll a = 0;
for(ll i=sz(s0)-1,j=1;;i--){
if(s0[i]>='a' && s0[i]<='f')a += j * (s0[i]-'a'+10);
else a += j * (s0[i]-'0');
j*=16;
if(i==0)break;
}
return a;
}
string conhex(ll n){
if(n==0)return "0";
string s;
while(n){
int r = n%16;
if(r<=9)s.push_back(r + '0');
else s.push_back(r-10+'a');
n/=16;
}
reverse(all(s));
return s;
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
P[0][0] = 1;
for(int i=0;i<=16;i++){
P[i][0] = 1;
ll f = 1;
for(int j=i;j>=1;j--){
f *= j;
P[i][i-j+1] = f;
}
}
//dp[i][len][mask] = if mask is used, my number has len digits and the next digit is <= i how many ways to make the number?
for(int mask=0;mask<(1<<10);mask++){
int run = 0;
for(int j=0;j<10;j++){
if(!(mask&(1<<j)))run++;
dp[j][mask] = run;
}
}
for(int mask=0;mask<(1<<16);mask++){
int run = 0;
for(int j=0;j<16;j++){
if(!(mask&(1<<j)))run++;
hp[j][mask] = run;
}
}
//for(int i=0;i<=100;i++)cout<<i<<" "<<find(i)<<'\n';
int t;
cin>>t;
while(t--){
char c;
int mode;
cin>>c>>mode;
if(c == 'd'){
if(!mode){
ll a,b;
cin>>a>>b;
if(a==0)cout<<find(b)<<'\n';
else cout<<find(b)-find(a-1)<<'\n';
}else{
ll n;
cin>>n;
ll l = 0,r = 1e11;
while(r>=l){
ll mid = (l+r)/2;
//cout<<mid<<" "<<find(mid)<<'\n';
if(find(mid) >= n)r = mid-1;
else l = mid+1;
}
if(find(l) != n)cout<<"-"<<'\n';
else cout<<l<<'\n';
}
}else{
if(!mode){
string s0,s1;
cin>>s0>>s1;
ll a = condec(s0),b = condec(s1);
ll ans = 0;
if(a==0)ans = find2(b);
else ans = find2(b) - find2(a-1);
cout<<conhex(ans)<<'\n';
}else{
string s0;
cin>>s0;
ll n = condec(s0);
//cout<<s0<<" "<<n<<'\n';
ll l = 0,r = 1e17;
while(r>=l){
ll mid = (l+r)/2;
//cout<<mid<<" "<<find(mid)<<'\n';
if(find2(mid) >= n)r = mid-1;
else l = mid+1;
}
if(find2(l) != n)cout<<"-"<<'\n';
else cout<<conhex(l)<<'\n';
}
}
}
}
/*
6
d 0 10 20
h 0 10 1f
d 1 10
h 1 f
d 1 1000000000
h 1 ffffffffffffffff
*/
详细
Test #1:
score: 100
Accepted
time: 5ms
memory: 12084kb
input:
6 d 0 10 20 h 0 10 1f d 1 10 h 1 f d 1 1000000000 h 1 ffffffffffffffff
output:
10 f 9 e - -
result:
ok 6 lines
Test #2:
score: -100
Time Limit Exceeded
input:
50000 h 1 147a d 0 25 71 d 1 3587 d 0 26922 51887 d 1 711 d 0 3 5 h 0 7bf2defab442a0b1 f299a4cf1d4d9bed d 0 6961 91018 d 1 4 d 1 876 h 1 12cc5d3370f99120 d 1 161315 h 0 25f 6959 d 0 467 516 d 1 298 h 1 70260cdc2da73281 h 1 928e17d65d764ca2 h 1 c8ec8a7b67605e51 d 1 91697 d 0 4941925161850941148 89850...