#####segfunc##### def segfunc(x, y): return max(x,y) ################# #####ide_ele##### ide_ele = -float('inf') ################# class SegTree: """ init(init_val, ide_ele): 配列init_valで初期化 O(N) update(k, x): k番目の値をxに更新 O(logN) query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN) """ def __init__(self, init_val, segfunc, ide_ele): """ init_val: 配列の初期値 segfunc: 区間にしたい操作 ide_ele: 単位元 n: 要素数 num: n以上の最小の2のべき乗 tree: セグメント木(1-index) """ n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num # 配列の値を葉にセット for i in range(n): self.tree[self.num + i] = init_val[i] # 構築していく for i in range(self.num - 1, 0, -1): self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): """ k番目の値をxに更新 k: index(0-index) x: update value """ k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): """ [l, r)のsegfuncしたものを得る l: index(0-index) r: index(0-index) """ res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.segfunc(res, self.tree[l]) l += 1 if r & 1: res = self.segfunc(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res def value(self,index): return self.query(index,index+1) N,D = map(int,input().split()) P = [] Q = [] for _ in range(N): p,q = map(int,input().split()) P.append(p) Q.append(q) def is_ok(x): INF = float('inf') tmp = [0 for _ in range(N)] for i in range(1,D+1): new = [-INF for _ in range(N)] if i == 1: for k in range(N): if -P[k] < x: new[k] = -INF else: new[k] = Q[k] - P[k] seg = SegTree(new,segfunc,ide_ele) else: for k in range(N): if -P[k] + max(seg.query(0,k),seg.query(k+1,N)) < x: new[k] = -INF else: new[k] = max(seg.query(0,k),seg.query(k+1,N)) + Q[k] - P[k] seg = SegTree(new,segfunc,ide_ele) return seg.query(0,N) > -INF ng = 0 ok = -10 ** 8 while ng - ok > 1: x = (ng+ok) //2 if is_ok(x): ok = x else: ng = x print(ok)