R(k,)≤R(R(k-1,),R(k,L-1)+1 n=R-(R(k-1,),R(k,l-1)+1 f:()→{red,blue} remove nfrom [n],consider ([n川={1,2,,n}) define:((red,blue} A∈(-),f'(A)=f(AU{n) n-1=R-(R(k-1,),R(k,l-1) 3Sn-1,lS1=R(k-1,),(3i)byf' Tcn-1,lT|=Rt(k,l-1),(工)byf” Rt(k,l) ≤ Rt-1(Rt(k-1,l), Rt(k,l-1)) + 1 n = Rt-1(Rt(k-1,l), Rt(k,l-1)) + 1 ⇥f : [n] t ⇥ {red, blue} remove n from [n], consider [n1] t1 ⇥ ( [n] = {1, 2, ..., n} ) f⇥ : [n1] t1 ⇥ {red, blue} ⇥A [n1] t1 ⇥ , f⇥ (A) = f(A ⇤ {n}) define n-1 = Rt-1(Rt(k-1,l), Rt(k,l-1)) ⇤S ⇥ [n 1], |S| = Rt(k 1, l), S t1 ⇥ by f⇥ ⇤T ⇥ [n 1], |T| = Rt(k,l 1), T t1 ⇥ by f⇥ or