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import random
from collections import Counter, defaultdict, deque
from datetime import datetime, timedelta
from functools import lru_cache, reduce
from heapq import heapify, heappop, heappush, nlargest, nsmallest
from itertools import combinations, compress, permutations, starmap, tee
from math import ceil, comb, fabs, floor, gcd, hypot, log, perm, sqrt
from string import ascii_lowercase, ascii_uppercase
from sys import exit, setrecursionlimit, stdin
from typing import Any, Callable, Dict, List, Optional, Tuple, TypeVar
TYPE = TypeVar('TYPE')
N = int(2e5 + 10)
M = int(20)
INF = int(1e12)
OFFSET = int(100)
MOD = int(1e9 + 7)
setrecursionlimit(int(2e9))
class Arr:
array = staticmethod(lambda x=0, size=N: [x() if callable(x) else x for _ in range(size)])
array2d = staticmethod(lambda x=0, rows=N, cols=M: [Arr.array(x, cols) for _ in range(rows)])
graph = staticmethod(lambda size=N: [[] for _ in range(size)])
class Math:
max = staticmethod(lambda a, b: a if a > b else b)
min = staticmethod(lambda a, b: a if a < b else b)
class Std:
pass
class Solution:
def coinChange(self, coins: List[int], amount: int) -> int:
n = len(coins)
@lru_cache(None)
def dfs(i: int, w: int) -> int:
if i < 0:
return 0 if w == 0 else INF
if w < coins[i]:
return dfs(i - 1, w)
return Math.min(dfs(i - 1, w), dfs(i, w - coins[i]) + 1)
ans = dfs(n - 1, amount)
return ans if ans < INF else -1
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