#include <bits/stdc++.h>
#include "gap.h"
using namespace std;
typedef long long ll;
ll onesolve(int n) {
ll lhs, rhs;
MinMax(0, 1000000000000000000LL, &lhs, &rhs);
set<ll> all;
all.insert(lhs);
all.insert(rhs);
n -= 2;
while(n > 0) {
MinMax(lhs+1, rhs-1, &lhs, &rhs);
all.insert(lhs);
all.insert(rhs);
n -= 2;
}
ll ret = 0;
ll lowest = *all.begin();
for(ll out: all) {
ret = max(ret, out - lowest);
lowest = out;
}
return ret;
}
ll twosolve(int n) {
ll lhs, rhs;
MinMax(0, 1000000000000000000LL, &lhs, &rhs);
ll ret = (rhs-lhs+n-2)/(n-1);
ll endend = rhs;
// printf("initial guess %lld\n", ret);
set<ll> all;
all.insert(lhs);
all.insert(rhs);
ll last = lhs+1;
while(last <= endend) {
MinMax(last, last + ret, &lhs, &rhs);
// printf("%lld %lld %lld %lld\n", last, last+ret, lhs, rhs);
if(lhs >= 0) {
all.insert(lhs);
all.insert(rhs);
}
last += ret+1;
}
ll lowest = *all.begin();
for(ll out: all) {
ret = max(ret, out - lowest);
lowest = out;
}
return ret;
}
ll findGap(int t, int n) {
if(t==1) return onesolve(n);
else return twosolve(n);
}
