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[pull] master from youngyangyang04:master #81

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Merged
pull merged 5 commits into AlgorithmAndLeetCode:master from youngyangyang04:master
Sep 7, 2022
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67 changes: 36 additions & 31 deletions problems/0040.组合总和II.md
View file Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -258,40 +258,45 @@ public:
**使用标记数组**
```Java
class Solution {
List<List<Integer>> lists = new ArrayList<>();
Deque<Integer> deque = new LinkedList<>();
int sum = 0;

public List<List<Integer>> combinationSum2(int[] candidates, int target) {
//为了将重复的数字都放到一起,所以先进行排序
Arrays.sort(candidates);
//加标志数组,用来辅助判断同层节点是否已经遍历
boolean[] flag = new boolean[candidates.length];
backTracking(candidates, target, 0, flag);
return lists;
}
LinkedList<Integer> path = new LinkedList<>();
List<List<Integer>> ans = new ArrayList<>();
boolean[] used;
int sum = 0;

public void backTracking(int[] arr, int target, int index, boolean[] flag) {
if (sum == target) {
lists.add(new ArrayList(deque));
return;
}
for (int i = index; i < arr.length && arr[i] + sum <= target; i++) {
//出现重复节点,同层的第一个节点已经被访问过,所以直接跳过
if (i > 0 && arr[i] == arr[i - 1] && !flag[i - 1]) {
continue;
}
flag[i] = true;
sum += arr[i];
deque.push(arr[i]);
//每个节点仅能选择一次,所以从下一位开始
backTracking(arr, target, i + 1, flag);
int temp = deque.pop();
flag[i] = false;
sum -= temp;
}
public List<List<Integer>> combinationSum2(int[] candidates, int target) {
used = new boolean[candidates.length];
// 加标志数组,用来辅助判断同层节点是否已经遍历
Arrays.fill(used, false);
// 为了将重复的数字都放到一起,所以先进行排序
Arrays.sort(candidates);
backTracking(candidates, target, 0);
return ans;
}

private void backTracking(int[] candidates, int target, int startIndex) {
if (sum == target) {
ans.add(new ArrayList(path));
}
for (int i = startIndex; i < candidates.length; i++) {
if (sum + candidates[i] > target) {
break;
}
// 出现重复节点,同层的第一个节点已经被访问过,所以直接跳过
if (i > 0 && candidates[i] == candidates[i - 1] && !used[i - 1]) {
continue;
}
used[i] = true;
sum += candidates[i];
path.add(candidates[i]);
// 每个节点仅能选择一次,所以从下一位开始
backTracking(candidates, target, i + 1);
used[i] = false;
sum -= candidates[i];
path.removeLast();
}
}
}

```
**不使用标记数组**
```Java
Expand Down
31 changes: 31 additions & 0 deletions problems/0216.组合总和III.md
View file Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -260,6 +260,37 @@ class Solution {
}
}
}

// 上面剪枝 i <= 9 - (k - path.size()) + 1; 如果还是不清楚
// 也可以改为 if (path.size() > k) return; 执行效率上是一样的
class Solution {
LinkedList<Integer> path = new LinkedList<>();
List<List<Integer>> ans = new ArrayList<>();
public List<List<Integer>> combinationSum3(int k, int n) {
build(k, n, 1, 0);
return ans;
}

private void build(int k, int n, int startIndex, int sum) {

if (sum > n) return;

if (path.size() > k) return;

if (sum == n && path.size() == k) {
ans.add(new ArrayList<>(path));
return;
}

for(int i = startIndex; i <= 9; i++) {
path.add(i);
sum += i;
build(k, n, i + 1, sum);
sum -= i;
path.removeLast();
}
}
}
```

其他方法
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