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Interesting thing on Codeforces Round 932 (Div. 2)B

Revision en1, by Negationist, 2024-09-25 08:59:33

In the editorial, they use prefix sums to find the MEXs, but we can actually calculate the final MEX of the subsegments directly. This is based on the fact that if an element is in the array, there MUST be a subsegment that does NOT have it as the MEX. Thus, the final MEX(for all subsegments) must be just the MEX of the original array. With this knowledge we can simply find the first subsegment with that MEX as the MEX. From there, we look for one more subsegment with this as the MEX, if found, we are done. If not, we know it must be impossible. Please note this is my first real blog, let me know if I did something wrong.

Code:

include <bits/stdc++.h>

define int long long

define pb push_back

define ff first

define ss second

define pii pair<int,int>

define vi vector

define vii vector<pair<int,int>>

using namespace std;

void solve(){ int n; cin >> n; int a[n]; set s; for(int i=0;i<n;i++){ cin >> a[i]; s.insert(a[i]); } int MEX=0; while(true){ if(s.find(MEX) != s.end()){ MEX++; } else{ break; } } s.clear(); for(int i=0;i<MEX;i++){ s.insert(i); } int r=0; for(int i=0;i<n;i++){ s.erase(a[i]); if(s.empty()){ for(int i=0;i<MEX;i++){ s.insert(i); } break; } else{ r++; } } for(int i=r+1;i<n;i++){ s.erase(a[i]); if(s.empty()){ cout << 2 << "\n1 " << r+1 << "\n" << r+2 << " " << n << "\n"; return; } } cout << -1 << "\n"; }

signed main() { ios::sync_with_stdio(0); cin.tie(0); int t; cin >> t; while(t--){ solve(); } return 0; }

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en3 English Negationist 2024-09-25 09:01:31 1403
en2 English Negationist 2024-09-25 09:00:31 35
en1 English Negationist 2024-09-25 08:59:33 2083 Initial revision (published)