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| 1 | +""" |
| 2 | +BOJ #12851. ์จ๋ฐ๊ผญ์ง2 (๊ณจ๋4) |
| 3 | +https://www.acmicpc.net/problem/12851 |
| 4 | +์ ํ: Graph, BFS |
| 5 | +""" |
| 6 | + |
| 7 | +""" |
| 8 | +ํ์ด1 |
| 9 | +""" |
| 10 | +import sys |
| 11 | +from collections import deque |
| 12 | + |
| 13 | +input = sys.stdin.readline |
| 14 | + |
| 15 | +MAX = 100000 |
| 16 | +N, K = map(int, input().split()) |
| 17 | +dist = [-1] * (MAX + 1) |
| 18 | +ways = [0] * (MAX + 1) |
| 19 | + |
| 20 | +queue = deque([N]) |
| 21 | +dist[N] = 0 |
| 22 | +ways[N] = 1 |
| 23 | + |
| 24 | +while queue: |
| 25 | + x = queue.popleft() |
| 26 | + |
| 27 | + for nx in (x - 1, x + 1, x * 2): |
| 28 | + # ๋ฒ์ ๋ด |
| 29 | + if 0 <= nx <= MAX: |
| 30 | + # ์์ง ๋ฐฉ๋ฌธํ์ง ์์ ์์น |
| 31 | + if dist[nx] == -1: |
| 32 | + dist[nx] = dist[x] + 1 # ํ์ฌ ๊ฑธ๋ฆฐ ์๊ฐ +1 ์ด |
| 33 | + ways[nx] = ways[x] # ์ด์ ์์น์์ ์ค๋ ๋ฐฉ๋ฒ์ ์ ๊ฐ์ ธ์ค๊ธฐ |
| 34 | + queue.append(nx) |
| 35 | + # ์ด๋ฏธ ๋ฐฉ๋ฌธํ์ง๋ง, ๊ฐ์ ์๊ฐ์ ๋ค์ ๋๋ฌํ ๊ฒฝ์ฐ |
| 36 | + elif dist[nx] == dist[x] + 1: |
| 37 | + ways[nx] += ways[x] # ๊ธฐ์กด ๋ฐฉ๋ฒ ์ + ์๋ก์ด ๊ฒฝ๋ก ์ |
| 38 | + |
| 39 | +print(dist[K]) |
| 40 | +print(ways[K]) |
| 41 | + |
| 42 | +""" |
| 43 | +ํ์ด2 |
| 44 | +""" |
| 45 | +import sys |
| 46 | +from collections import deque |
| 47 | + |
| 48 | +N, K = map(int, sys.stdin.readline().split()) |
| 49 | +queue = deque() |
| 50 | +queue.append(N) |
| 51 | +way = [0] * 100001 # ์ต๋ ํฌ๊ธฐ |
| 52 | +cnt, result = 0, 0 |
| 53 | +while queue: |
| 54 | + a = queue.popleft() |
| 55 | + temp = way[a] |
| 56 | + if a == K: # ๋์ด ๋ง๋ฌ์ ๋ |
| 57 | + result = temp # ๊ฒฐ๊ณผ |
| 58 | + cnt += 1 # ๋ฐฉ๋ฌธ ํ์ +1 |
| 59 | + continue |
| 60 | + |
| 61 | + for i in [a - 1, a + 1, a * 2]: |
| 62 | + if 0 <= i < 100001 and (way[i] == 0 or way[i] == way[a] + 1): # ๋ฒ์ ์์์๊ณ ๋ฐฉ๋ฌธํ์ง ์์๊ฑฐ๋, ๋ค์ ๋ฐฉ๋ฌธ์ด ์ด์ ๋ฐฉ๋ฌธ+1์ด๋ฉด |
| 63 | + way[i] = way[a] + 1 |
| 64 | + queue.append(i) |
| 65 | +print(result) |
| 66 | +print(cnt) |
| 67 | + |
| 68 | +""" |
| 69 | +ํ์ด3 |
| 70 | +""" |
| 71 | +from sys import stdin |
| 72 | + |
| 73 | +input = stdin.readline |
| 74 | +from collections import deque |
| 75 | + |
| 76 | +# ์๋น ์์น, ๋์ ์์น |
| 77 | +N, K = map(int, input().split()) |
| 78 | + |
| 79 | +MAX_SIZE = 100001 |
| 80 | + |
| 81 | +que = deque() |
| 82 | +que.append(N) |
| 83 | +visited = [-1] * MAX_SIZE |
| 84 | +visited[N] = 0 |
| 85 | +cnt = 0 |
| 86 | + |
| 87 | +while que: |
| 88 | + # ํ ์์น |
| 89 | + current = que.popleft() |
| 90 | + # ๋์ฐฉ |
| 91 | + if current == K: |
| 92 | + cnt += 1 |
| 93 | + # ์ด๋ |
| 94 | + for next in [current * 2, current + 1, current - 1]: |
| 95 | + # ๋ฒ์ ๋ด |
| 96 | + if 0 <= next < MAX_SIZE: |
| 97 | + # ์ฒซ๋ฐฉ๋ฌธ ํน์ ๋ฐฉ๋ฌธ ์๊ฐ์ด ๊ฐ์ ๊ฒฝ์ฐ๊ฐ ์ด๋ฏธ ์์(๊ฐ์ฅ ๋น ๋ฅธ ์๊ฐ ๋ฐฉ๋ฒ์ ์๋ฅผ ์ํด) |
| 98 | + if visited[next] == -1 or visited[next] >= visited[current] + 1: |
| 99 | + visited[next] = visited[current] + 1 |
| 100 | + que.append(next) |
| 101 | + |
| 102 | +print(visited[K]) |
| 103 | +print(cnt) |
| 104 | + |
| 105 | +""" |
| 106 | +ํ์ด4 |
| 107 | +""" |
| 108 | +import sys |
| 109 | +from collections import deque |
| 110 | +input = sys.stdin.readline |
| 111 | + |
| 112 | +N, K = map(int, input().split()) |
| 113 | +if N == K: |
| 114 | + print(0) |
| 115 | + print(1) |
| 116 | + sys.exit() |
| 117 | + |
| 118 | +MAX = 100_000 |
| 119 | +visited = [False] * (MAX + 1) |
| 120 | +visited[N] = True |
| 121 | + |
| 122 | +q = deque([N]) |
| 123 | +time = 0 |
| 124 | +ans = 0 |
| 125 | +found = False |
| 126 | + |
| 127 | +while q and not found: |
| 128 | + time += 1 |
| 129 | + level_size = len(q) |
| 130 | + # ์ด๋ฒ ๋ ๋ฒจ์์ ์๋ก ๋ฐฉ๋ฌธํ ๋
ธ๋๋ค ๊ธฐ๋ก (๋ฐฉ๋ฌธ ํ์๋ ๋ ๋ฒจ ๋์) |
| 131 | + next_level = [] |
| 132 | + |
| 133 | + for _ in range(level_size): |
| 134 | + x = q.popleft() |
| 135 | + for nx in (x - 1, x + 1, x * 2): |
| 136 | + if 0 <= nx <= MAX: |
| 137 | + if nx == K: |
| 138 | + # ๋์ ์์น๋ฅผ ๋ฐ๊ฒฌํ ๋๋ง๋ค ์นด์ดํธ |
| 139 | + ans += 1 |
| 140 | + found = True |
| 141 | + # ์์ง ํ ๋ฒ๋ ๋ค์ ๋ ๋ฒจ์์ enqueue๋์ง ์์ ๋
ธ๋๋ง |
| 142 | + elif not visited[nx]: |
| 143 | + q.append(nx) |
| 144 | + next_level.append(nx) |
| 145 | + |
| 146 | + # ์ด๋ฒ ๋ ๋ฒจ์ ํ์์ด ๋๋ ๋ค, ์๋ก enqueue๋ ๋
ธ๋๋ค์ ํ๊บผ๋ฒ์ ๋ฐฉ๋ฌธ ํ์ |
| 147 | + for node in next_level: |
| 148 | + visited[node] = True |
| 149 | + |
| 150 | +# ๋ต ์ถ๋ ฅ |
| 151 | +print(time) |
| 152 | +print(ans) |
| 153 | + |
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