import strutils, sequtils type Heap[T]= object data: seq[T] size: int comp: proc (x: T, y: T): int EmptyHeapError = object of Exception proc siftup[T](h: var Heap[T]) = var i = h.size - 1 while i > 0: var par = (i-1) div 2 if h.comp(h.data[par], h.data[i]) > 0: swap(h.data[i], h.data[par]) i = par else: break proc siftdown[T](h: var Heap[T]) = var par = 0 while par < h.size: let (left, right) = (2*par+1, 2*par+2) if right < h.size: if h.comp(h.data[par], min(h.data[left], h.data[right])) <= 0: break elif h.comp(h.data[left], h.data[right]) < 0: swap(h.data[par], h.data[left]) par = left else: swap(h.data[par], h.data[right]) par = right elif left < h.size: if h.comp(h.data[left], h.data[par]) < 0: swap(h.data[par], h.data[left]) par = left else: break else: break proc initHeap[T](comparator: proc (x: T, y: T): int = cmp): Heap[T] = Heap[T](data: newSeq[T](), size: 0, comp: comparator) proc push[T](h: var Heap[T], x: T) = h.data.add(x) h.size.inc h.siftup proc pop[T](h: var Heap[T]): T = if h.size <= 0: raise newException(EmptyHeapError, "cannot pop element, heap is empty") result = h.data[0] h.data[0] = h.data[^1] h.size.dec h.data.setlen(h.size) h.siftdown proc empty[T](h: var Heap[T]): bool {. inline .} = h.data.len == 0 proc popcount(x: int): cint {. importc: "__builtin_popcount", nodecl, nosideeffect.} let N = stdin.readline.parseInt var dist = newSeqWith(N+1, 1e9.int) pque = initHeap[(int, int)]() pque.push((1, 1)) while not pque.empty: let (c, v) = pque.pop if dist[v] <= c: continue dist[v] = c if v == N: echo(c) quit() let pcnt = popcount(v) for sgn in @[-1, 1]: if 0 < v + sgn * pcnt and v + sgn * pcnt <= N and dist[v] + 1 < dist[v + sgn * pcnt]: pque.push((dist[v] + 1, v + sgn * pcnt)) echo(-1)