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Programming101
Programming101

Learn everything about programming

HackerEarth Beautiful numbers problem solution

YASH PAL, 31 July 2024
In this HackerEarth Beautiful numbers problem solution, Any number is called beautiful if it consists of 2N digits and the sum of the first N digits is equal to the sum of the last N digits. Your task is to find the count of beautiful numbers in the interval from L to R (including L and R).
Beautiful numbers do not have leading zeroes.
HackerEarth Beautiful numbers problem solution

HackerEarth Beautiful numbers problem solution.

#include<bits/stdc++.h>
using namespace std;

#define F first
#define S second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define vi vector<int>
#define all(x) x.begin(),x.end()
#define fix fixed<<setprecision(10)
#define rep(i,a,b) for(int i=int(a);i<=int(b);i++)
#define repb(i,b,a) for(int i=int(b);i>=int(a);i--)
#define FastIO ios_base::sync_with_stdio(0),cin.tie(0)

typedef double db;
typedef long long ll;

const int N=2e5+5;
const int mod=1e9+7;

vi sum[50][10],v;

void pre(){
rep(i,1,9999){
int t=i,s=0,d=0;
while(t){
s+=(t%10);
t/=10;
d++;
}
rep(j,d,4) sum[s][j].pb(i);
}
rep(i,1,9999){
int t=i,s=0,d=0;
while(t){
s+=(t%10);
t/=10;
d++;
}
for(int u:sum[s][d]){
string s=to_string(i);
string t=to_string(u);
while(t.size()<d) t="0"+t;
s+=t;
v.pb(stoi(s));
}
}
sort(all(v));
}

void solve(){
int l,r;
cin>>l>>r;
cout<<ub(all(v),r)-lb(all(v),l)<<'n';
}

signed main(){
FastIO;
pre();
int t;
cin>>t;
while(t--) solve();
return 0;
}

Second solution

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
const int D = 5, MXS = 1000, N = 1e4;
vector<int> v[D][MXS], ans;

int main() {
ios::sync_with_stdio(0), cin.tie(0);
for (int i = 1; i < N; ++i) {
string t = to_string(i);
v[t.size()][accumulate(t.begin(), t.end(), 0) - t.size() * '0'].push_back(i);
}
for (int d = 1; d < D; ++d)
for (int s = 0; s < MXS; ++s)
for (auto l : v[d][s])
for (int dd = 0; dd <= d; ++dd)
for (auto r : v[dd][s])
ans.push_back(l * (int) pow(10, d) + r);
sort(ans.begin(), ans.end());
int t;
cin >> t;
while (t--) {
int l, r;
cin >> l >> r;
++r;
cout << lower_bound(ans.begin(), ans.end(), r) - lower_bound(ans.begin(), ans.end(), l) << 'n';
}
}
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