Skip to content

Commit 833c4f2

Browse files
Onewonazl397985856
andauthored
feat(translation): 1011.capacity-to-ship-packages-within-d-days-en.md (azl397985856#360)
* Created 1011.capacity-to-ship-packages-within-d-days-en.md & Updated Readme.en.md * Update problems/1011.capacity-to-ship-packages-within-d-days-en.md * Update problems/1011.capacity-to-ship-packages-within-d-days-en.md * Update problems/1011.capacity-to-ship-packages-within-d-days-en.md Co-authored-by: lucifer <azl397985856@gmail.com>
1 parent b45667f commit 833c4f2

File tree

3 files changed

+189
-1
lines changed

3 files changed

+189
-1
lines changed

README.en.md

Lines changed: 2 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -223,6 +223,7 @@ The data structures mainly include:
223223
- [0887.super-egg-drop](./problems/887.super-egg-drop.md)
224224
- [0900.rle-iterator](./problems/900.rle-iterator.md)
225225
- [0912.sort-an-array](./problems/912.sort-an-array.md) 🆕
226+
- [1011.capacity-to-ship-packages-within-d-days](./problems/1011.capacity-to-ship-packages-within-d-days-en.md) 🆕✅
226227
- [1031.maximum-sum-of-two-non-overlapping-subarrays](./problems/1031.maximum-sum-of-two-non-overlapping-subarrays.md)
227228
- [1218.longest-arithmetic-subsequence-of-given-difference.md](./problems/1218.longest-arithmetic-subsequence-of-given-difference.md) 🆕
228229
- [1371.find-the-longest-substring-containing-vowels-in-even-counts](./problems/1371.find-the-longest-substring-containing-vowels-in-even-counts.en.md) 🆕✅
@@ -320,4 +321,4 @@ A big Thank you to every [contributor](https://github.com/azl397985856/leetcode/
320321

321322
## License
322323

323-
[Apache-2.0](./LICENSE.txt)
324+
[Apache-2.0](./LICENSE.txt)
File renamed without changes.
Lines changed: 187 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,187 @@
1+
## Problem
2+
3+
https://leetcode-cn.com/problems/capacity-to-ship-packages-within-d-days
4+
5+
## Problem Description
6+
7+
A conveyor belt has packages that must be shipped from one port to another within D days.
8+
9+
The i-th package on the conveyor belt has a weight of weights[i]. Each day, we load the ship with packages on the conveyor belt (in the order given by weights). We may not load more weight than the maximum weight capacity of the ship.
10+
11+
Return the least weight capacity of the ship that will result in all the packages on the conveyor belt being shipped within D days.
12+
13+
**Example 1:**
14+
15+
```
16+
Input: weights = [1,2,3,4,5,6,7,8,9,10], D = 5
17+
Output: 15
18+
Explanation:
19+
A ship capacity of 15 is the minimum to ship all the packages in 5 days like this:
20+
1st day: 1, 2, 3, 4, 5
21+
2nd day: 6, 7
22+
3rd day: 8
23+
4th day: 9
24+
5th day: 10
25+
26+
Note that the cargo must be shipped in the order given, so using a ship of capacity 14 and splitting the packages into parts like (2, 3, 4, 5), (1, 6, 7), (8), (9), (10) is not allowed.
27+
```
28+
29+
**Example 2:**
30+
31+
```
32+
Input: weights = [3,2,2,4,1,4], D = 3
33+
Output: 6
34+
Explanation:
35+
A ship capacity of 6 is the minimum to ship all the packages in 3 days like this:
36+
1st day: 3, 2
37+
2nd day: 2, 4
38+
3rd day: 1, 4
39+
```
40+
41+
**Example 3:**
42+
43+
```
44+
Input: weights = [1,2,3,1,1], D = 4
45+
Output: 3
46+
Explanation:
47+
1st day: 1
48+
2nd day: 2
49+
3rd day: 3
50+
4th day: 1, 1
51+
```
52+
53+
54+
55+
**Note:**
56+
57+
1. `1 <= D <= weights.length <= 50000`
58+
2. `1 <= weights[i] <= 500`
59+
60+
61+
62+
## Solution
63+
64+
The problem is same as [**LeetCode 875 koko-eating-bananas**] (https://github.com/azl397985856/leetcode/blob/master/problems/875.koko-eating-bananas-en.md) practically.
65+
66+
It is easy to solve this kind of problems if you take a closer look into it.
67+
68+
69+
The essence is to search a given number in finite discrete data like [ 1,2,3,4, ... , total ].
70+
71+
However, We should find the cargo that can be shipped in D days rather than look for the target directly.
72+
73+
74+
Consider the following questions:
75+
76+
- Can it be shipped if the capacity is 1?
77+
- Can it be shipped if the capacity is 2?
78+
- Can it be shipped if the capacity is 3?
79+
- ...
80+
- Can it be shipped if the capacity is total ? ( Yeap we can, D is greater than or equal to 1)
81+
82+
During the process, we directly `return` if the answer is *yes*.
83+
84+
If the answer is *no*, just keep asking.
85+
86+
This is a typical binary search problem, the only difference is the judgement condition:
87+
88+
89+
```python
90+
def canShip(opacity):
91+
# Whether the capacity of the specified ship can be shipped in D days
92+
lo = 0
93+
hi = total
94+
while lo < hi:
95+
mid = (lo + hi) // 2
96+
if canShip(mid):
97+
hi = mid
98+
else:
99+
lo = mid + 1
100+
return lo
101+
```
102+
103+
## Key Points
104+
105+
- if you are so familiar with binary search as well its transformation, you can easily find out that using binary search to find one number in a given number sequence of a certain length.
106+
107+
## Code (`JS/Python`)
108+
109+
- `Python`
110+
111+
```python
112+
class Solution:
113+
def shipWithinDays(self, weights: List[int], D: int) -> int:
114+
lo = 0
115+
hi = 0
116+
117+
def canShip(opacity):
118+
days = 1
119+
remain = opacity
120+
for weight in weights:
121+
if weight > opacity:
122+
return False
123+
remain -= weight
124+
if remain < 0:
125+
days += 1
126+
remain = opacity - weight
127+
return days <= D
128+
129+
for weight in weights:
130+
hi += weight
131+
while lo < hi:
132+
mid = (lo + hi) // 2
133+
if canShip(mid):
134+
hi = mid
135+
else:
136+
lo = mid + 1
137+
138+
return lo
139+
```
140+
141+
- `JavaScript`
142+
143+
```js
144+
/**
145+
* @param {number[]} weights
146+
* @param {number} D
147+
* @return {number}
148+
*/
149+
var shipWithinDays = function(weights, D) {
150+
let high = weights.reduce((acc, cur) => acc + cur)
151+
let low = 0
152+
153+
while(low < high) {
154+
let mid = Math.floor((high + low) / 2)
155+
if (canShip(mid)) {
156+
high = mid
157+
} else {
158+
low = mid + 1
159+
}
160+
}
161+
162+
return low
163+
164+
function canShip(opacity) {
165+
let remain = opacity
166+
let count = 1
167+
for (let weight of weights) {
168+
if (weight > opacity) {
169+
return false
170+
}
171+
remain -= weight
172+
if (remain < 0) {
173+
count++
174+
remain = opacity - weight
175+
}
176+
if (count > D) {
177+
return false
178+
}
179+
}
180+
return count <= D
181+
}
182+
};
183+
```
184+
185+
## References
186+
187+
## Extension

0 commit comments

Comments
 (0)