import times, strutils, sequtils, math, algorithm, tables, sets, lists, intsets import critbits, future, strformat, deques template `max=`(x,y) = x = max(x,y) template `min=`(x,y) = x = min(x,y) template `mod=`(x,y) = x = x mod y template scan2 = (scan(), scan()) template scan3 = (scan(), scan()) let read* = iterator: string {.closure.} = while true: (for s in stdin.readLine.split: yield s) proc scan(): int = read().parseInt proc scanf(): float = read().parseFloat proc toInt(c:char): int = return int(c) - int('0') proc modpow(x,n,md:int):int= var x = x n = n result = 1 while n > 0: if (n and 1)>0: result*=x result.mod=md x = (x*x).mod(md) n = n shr 1 proc solve():int= var n = scan() m = scan() md = 10^9+7 inv = newseqwith(m+1,0) comb = newseqwith(m+1,0) f = newseqwith(m+1,0) cf = newseqwith(m+1,0) # combinationの事前計算 comb[1]=m for i in 1..m: inv[i] = modpow(i,md-2,md) for i in 2..m: comb[i] = ((comb[i-1]*(m-i+1)).mod(md)*inv[i]).mod(md) for i in 0..m: result+=((comb[i]*modpow(i,n,md)).mod(md)*modpow(-1,m-i,md)).mod(md) result.mod=md echo solve()