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Merge pull request #753 from X-shuffle/master
添加 0474.一和零 (三维数组,动态规划,好理解)Go语言版本
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@ -248,6 +248,53 @@ func max(a,b int) int {
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return b
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}
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```
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> 传统背包,三维数组法
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```golang
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func findMaxForm(strs []string, m int, n int) int {
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//dp的第一个index代表项目的多少,第二个代表的是背包的容量
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//所以本处项目的多少是len(strs),容量为m和n
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dp:=make([][][]int,len(strs)+1)
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for i:=0;i<=len(strs);i++{
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//初始化背包容量
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strDp:=make([][]int,m+1)
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for j:=0;j<m+1;j++{
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tmp:=make([]int,n+1)
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strDp[j]=tmp
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}
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dp[i]=strDp
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}
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for k,value:=range strs{
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//统计每个字符串0和1的个数
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var zero,one int
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for _,v:=range value{
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if v=='0'{
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zero++
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}else{
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one++
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}
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}
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k+=1
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//计算dp
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for i:=0;i<=m;i++{
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for j:=0;j<=n;j++{
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//如果装不下
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dp[k][i][j]=dp[k-1][i][j]
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//如果装的下
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if i>=zero&&j>=one{
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dp[k][i][j]=getMax(dp[k-1][i][j],dp[k-1][i-zero][j-one]+1)
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}
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}
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}
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}
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return dp[len(strs)][m][n]
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}
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func getMax(a,b int)int{
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if a>b{
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return a
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}
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return b
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}
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```
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Javascript:
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```javascript
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@ -314,6 +314,47 @@ func findTargetSumWays(nums []int, target int) int {
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return dp[bag]
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}
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```
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> 更新版,上一个跑不通了,因为会存在bag 小于0的情况
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```go
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func findTargetSumWays(nums []int, target int) int {
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//先转化为数学问题
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//a-b=target
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//a+b=sum
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//a=(target+sum)/2
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//求出sum
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var sum int
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for _,value:=range nums{
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sum+=value
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}
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//如果sum<target或者 sum+target不是偶数(因为a是int) 或者两者之和小于0了
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if sum<target||(sum+target)%2==1||(sum+target)<0{
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return 0
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}
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//开始dp初始化
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dp:=make([][]int,len(nums)+1)
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for i:=0;i<=len(nums);i++{
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tmp:=make([]int,(target+sum)/2+1)//背包容量
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dp[i]=tmp
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}
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dp[0][0]=1//当背包容量为0,且物品为0时,填满背包就1种方法
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for i:=0;i<len(nums)+1;i++{
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if i==0{
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continue
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}
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for j:=0;j<(target+sum)/2+1;j++{
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if nums[i-1]<=j{//如果背包装的下
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dp[i][j]=dp[i-1][j]+dp[i-1][j-nums[i-1]]
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}else{
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dp[i][j]=dp[i-1][j]
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}
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}
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}
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return dp[len(nums)][(target+sum)/2]
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}
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```
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Javascript:
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```javascript
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