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Challenges How many umbrellas to cover the beach?

Python 3.8+, 219 bytes Short version: from itertools import combinations as c def m(w): for k in range(n:=len(w)): for y in c(range(n),k+1): s=[0]*n for x in y: for r in range(...

posted 6mo ago by Arpad Horvath‭  ·  edited 6mo ago by Arpad Horvath‭

Answer
#4: Post edited by user avatar Arpad Horvath‭ · 2023-11-11T11:22:26Z (6 months ago)
Adding import
  • Python 3.8+,192 bytes
  • Short version without import:
  • ```python
  • def m(w):
  • for k in range(n:=len(w)):
  • for xs in combinations(range(n),k+1):
  • s=[0]*n
  • for x in xs:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
  • Python 3.8+, 219 bytes
  • Short version:
  • ```python
  • from itertools import combinations as c
  • def m(w):
  • for k in range(n:=len(w)):
  • for y in c(range(n),k+1):
  • s=[0]*n
  • for x in y:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
#3: Post edited by user avatar Arpad Horvath‭ · 2023-11-10T17:35:15Z (6 months ago)
  • Python 3.8+,192 bytes
  • Short version without import:
  • ```python
  • def m(w):
  • for k in range(n:=len(w)):
  • for xs in combinations(range(n),k+1):
  • s=[0]*n
  • for x in xs:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • def get_list(string):
  • return [int(ch) for ch in string]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
  • Python 3.8+,192 bytes
  • Short version without import:
  • ```python
  • def m(w):
  • for k in range(n:=len(w)):
  • for xs in combinations(range(n),k+1):
  • s=[0]*n
  • for x in xs:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
#2: Post edited by user avatar Arpad Horvath‭ · 2023-11-10T17:33:45Z (6 months ago)
standard format
  • Python 3.8+ **192 bytes**
  • Short version without import:
  • ```python
  • def m(w):
  • for k in range(n:=len(w)):
  • for xs in combinations(range(n),k+1):
  • s=[0]*n
  • for x in xs:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • def get_list(string):
  • return [int(ch) for ch in string]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
  • Python 3.8+,192 bytes
  • Short version without import:
  • ```python
  • def m(w):
  • for k in range(n:=len(w)):
  • for xs in combinations(range(n),k+1):
  • s=[0]*n
  • for x in xs:
  • for r in range(w[x]):
  • s[max(0,x-r)]=s[min(n-1,x+r)]=1
  • if all(s):return k+1
  • ```
  • Longer version with the tests.
  • ```python
  • from itertools import combinations
  • def umbrellas(values):
  • n = len(values)
  • for k in range(n):
  • for xs in combinations(range(n), k+1):
  • shadow = [False] * n
  • for x in xs:
  • for r in range(values[x]):
  • shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
  • if all(shadow):
  • return k + 1
  • known_results = [
  • ("214141131", 2),
  • ("92132421", 1),
  • ("11111111", 8),
  • ("513131116", 2),
  • ]
  • def get_list(string):
  • return [int(ch) for ch in string]
  • for nums, result in known_results:
  • res = min_shield([int(ch) for ch in nums])
  • print(nums, result, res)
  • ```
#1: Initial revision by user avatar Arpad Horvath‭ · 2023-11-10T17:31:30Z (6 months ago)
Python 3.8+ **192 bytes**

Short version without import:

```python
def m(w):
 for k in range(n:=len(w)):
  for xs in combinations(range(n),k+1):
   s=[0]*n
   for x in xs:
    for r in range(w[x]):
     s[max(0,x-r)]=s[min(n-1,x+r)]=1
   if all(s):return k+1
```

Longer version with the tests.

```python
from itertools import combinations


def umbrellas(values):
    n = len(values)
    for k in range(n):
        for xs in combinations(range(n), k+1):
            shadow = [False] * n
            for x in xs:
                for r in range(values[x]):
                    shadow[max(0, x-r)] = shadow[min(n-1, x+r)] = True
            if all(shadow):
                return k + 1

known_results = [
    ("214141131", 2),
    ("92132421", 1),
    ("11111111", 8),
    ("513131116", 2),
]

def get_list(string):
    return [int(ch) for ch in string]

for nums, result in known_results:
    res = min_shield([int(ch) for ch in nums])
    print(nums, result, res)
```