前言
整体评价
感觉这场更偏思维,F题毫无思路,但是可以模拟骗点分, E题是dij最短路.
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A. 小红的单词整理
类型: 签到
w1,w2 = input().split()
print (w2)
print (w1)
B. 小红煮汤圆
思路: 模拟
可以从拆包的角度去构建模拟
注意拆一包,可以烧好几次的情况
n, x, k = list(map(int, input().split()))
res = []
pack = 0
left = 0
for i in range(n):
left += x
pack += 1
while left >= k:
res.append(pack)
left -= k
pack = 0
print (len(res))
print (*res, sep=' ')
C. 小红的 01 串
思路: 枚举
其实只能删除第1/第2,只能保证删除数组的前面一个区间,最多保留一个
题外话
如果题目改成第1/第2/.../第k,那最大价值数组是多少?
其实也是类似的思路
枚举最后一个被删除的位子
这样价值为 [前缀最多一位] + [后缀区间价值和]
s = input()
n = len(s)
n0, n1 = 0, 0
for c in s:
if c == '0':
n0 += 1
else:
n1 += 1
# 然后枚举
res = max(0, n1 - n0)
t1 = 0
for i in range(n):
if s[i] == '0':
n0 -= 1
else:
n1 -= 1
t1 += 1
res = max(res, n1 - n0 + (1 if t1 > 0 else 0))
print (res)
D. 小红的数组清空
思路: 贪心
尽量从最小值开始删除,带动连续数组
貌似这边for嵌套while,看似时间复杂度很高,但实际上,每次都会有效删除至少1,而n最多1e5,所以均摊下来为O(1)
时间复杂度为
# 贪心
n = int(input())
arr = list(map(int, input().split()))
from collections import Counter
cnt = Counter(arr)
brr = [[k, v] for (k, v) in cnt.items()]
brr.sort(key=lambda x: x[0])
ans = 0
m = len(brr)
for i in range(m):
if brr[i][1] > 0:
j = i + 1
cost = brr[i][1]
brr[i][1] = 0
ans += cost
while j < m and cost > 0 and brr[j - 1][0] + 1 == brr[j][0]:
cost = min(cost, brr[j][1])
brr[j][1] -= cost
j += 1
print (ans)
E. 小红勇闯地下城
思路: dijkstra最短路
题型: 板子题
t = int(input())
import heapq
from math import inf
def solve(grids, health):
h, w = len(grids), len(grids[0])
sy, sx = -1, -1
ty, tx = -1, -1
for i in range(h):
for j in range(w):
if grids[i][j] == 'S':
sy, sx = i, j
elif grids[i][j] == 'T':
ty, tx = i, j
if sy == -1 or ty == -1:
return "No"
arr = []
vis = [[inf] * w for _ in range(h)]
heapq.heappush(arr, (0, sy, sx))
vis[sy][sx] = 0
while len(arr) > 0:
cur = heapq.heappop(arr)
if cur[0] > vis[cur[1]][cur[2]]:
continue
if cur[0] >= health:
continue
if cur[1] == ty and cur[2] == tx:
return "Yes"
for (dy, dx) in [(1, 0), (-1, 0), (0, -1), (0, 1)]:
gy = cur[1] + dy
gx = cur[2] + dx
if gy >= h or gy < 0 or gx >= w or gx < 0:
continue
tcost = 0
if grids[gy][gx] >= '0' and grids[gy][gx] <= '9':
tcost = ord(grids[gy][gx]) - ord('0')
if vis[gy][gx] > cur[0] + tcost and cur[0] + tcost < health:
vis[gy][gx] = cur[0] + tcost
heapq.heappush(arr, (vis[gy][gx], gy, gx))
return "No"
for _ in range(t):
n, m, h = list(map(int, input().split()))
grids = []
for _ in range(n):
grids.append(input())
print (solve(grids, h))
F. 小红的数组操作
后期再补上