Lantern Line

#include <bits/stdc++.h>
using namespace std;
const int MN = 2e5+100;
int t[MN];
int f(int a, int b) {
	if(b < 0) return 0;
	//cout<<a<<' '<<b<<endl;
	if(a == 0) return 0;
	if(a == 1) {
		return min(1, b+1);
	}
	if(__builtin_popcount(a) == 1) {
		return min(b+1, a);
	}
	else {
		int q = 1<<(int)log2(a);
		int ans = f(a-q, b) + f(a-q, b-q);
		return ans;
	}
}
int main() {
	//cout<<f(23, 17)<<endl;
	int n;
	cin>>n;
	t[0] = 1;
	cout<<1<<' ';
	int tot = 0;
	for(int i = 0; i < n-1; ++i) {
		if(i > 10) {
			cout<<f(i+2, n-i-2)<<' ';
			continue;
		}
		for(int j= n-1; j >= 2; --j) {
			if(t[j-2] + t[j-1] == 1) {
				t[j] = 1;
			}
			else {
				t[j] = 0;
			}
		}
		if(t[0] == 1) {
			t[1] = 1;
		}
		else {
			t[1] = 0;
		}
		t[0] = 0;
		int cnt = 0;
		for(int j= i+1; j < n; ++j) {
			cnt += t[j];
		}
		tot += cnt;
		
		cout<<cnt<<' ';
	}
	cout<<'\n';
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: TIME LIMIT EXCEEDED

Test 5

Verdict: TIME LIMIT EXCEEDED

Test 6

Verdict: RUNTIME ERROR

Test 7

Verdict: RUNTIME ERROR

Test 8

Verdict: RUNTIME ERROR

Test 9

Verdict: RUNTIME ERROR

Test 10

Verdict: RUNTIME ERROR

Test 11

Verdict: RUNTIME ERROR

Test 12

Verdict: RUNTIME ERROR

Test 13

Verdict: RUNTIME ERROR

Test 14

Verdict: RUNTIME ERROR

Test 15

Verdict: RUNTIME ERROR