#include <bits/stdc++.h>
using namespace std;
typedef long long   signed int LL;
typedef long long unsigned int LU;
#define incII(i, l, r) for(int i = (l)    ; i <= (r); ++i)
#define incID(i, l, r) for(int i = (l)    ; i <  (r); ++i)
#define decII(i, l, r) for(int i = (r)    ; i >= (l); --i)
#define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i)
#define inc(i, n)  incID(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec(i, n)  decID(i, 0, n)
#define dec1(i, n) decII(i, 1, n)
#define inII(v, l, r) ((l) <= (v) && (v) <= (r))
#define inID(v, l, r) ((l) <= (v) && (v) <  (r))
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define FI first
#define SE second
#define  ALL(v)  v.begin(),  v.end()
#define RALL(v) v.rbegin(), v.rend()
template<typename T> bool setmin  (T & a, T b) { if(b <  a) { a = b; return true; } else { return false; } }
template<typename T> bool setmax  (T & a, T b) { if(b >  a) { a = b; return true; } else { return false; } }
template<typename T> bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } }
template<typename T> bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } }
LL mo(LL a, LL b) { assert(b > 0); a %= b; if(a < 0) { a += b; } return a; }
LL fl(LL a, LL b) { assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); }
LL ce(LL a, LL b) { assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); }
#define bit(b, i) (((b) >> (i)) & 1)
#define BC __builtin_popcountll
#define SC(T, v) static_cast<T>(v)
#define SI(v) SC(int, v.size())
#define SL(v) SC( LL, v.size())
#define RF(e, v) for(auto & e: v)
#define ei else if
#define UR assert(false)

// ---- ----

int n, k, a[100000], b[100000];

bool f(int x) {
	int s = 0;
	inc(i, n) {
		s += max(0, min(b[i], x) - a[i] + 1);
	}
	return (s >= k);
}

int main() {
	cin >> n >> k;
	inc(i, n) { cin >> a[i] >> b[i]; }
	
	int L = 0, H = 1e9 + 1;
	while(H - L > 1) {
		int M = (L + H) / 2;
		(f(M) ? H : L) = M;
	}
	
	cout << H << endl;
	
	return 0;
}