From 4bca22a75925700bba822ab8c51502bdafdd0e7d Mon Sep 17 00:00:00 2001
From: yuanguangxin <274841922@qq.com>
Date: Thu, 26 Mar 2020 21:53:09 +0800
Subject: [PATCH] add q64

---
 .idea/workspace.xml                           | 32 +++++++++----------
 README.md                                     |  1 +
 .../q64_最小路径和/Solution.java         | 26 +++++++++++++++
 3 files changed, 43 insertions(+), 16 deletions(-)
 create mode 100644 src/动态规划/q64_最小路径和/Solution.java

diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index 73d0dc3..1720150 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -2,7 +2,7 @@
 <project version="4">
   <component name="ChangeListManager">
     <list default="true" id="af7ffdf2-4ddc-4ed6-8222-60ed5acbc2ed" name="Default Changelist" comment="">
-      <change afterPath="$PROJECT_DIR$/src/分治法/q34_在排序数组中查找元素的第一个和最后一个位置/Solution.java" afterDir="false" />
+      <change afterPath="$PROJECT_DIR$/src/动态规划/q64_最小路径和/Solution.java" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/README.md" beforeDir="false" afterPath="$PROJECT_DIR$/README.md" afterDir="false" />
     </list>
@@ -264,14 +264,7 @@
       <workItem from="1585037684584" duration="753000" />
       <workItem from="1585041029099" duration="2193000" />
       <workItem from="1585219892120" duration="917000" />
-      <workItem from="1585223904505" duration="5402000" />
-    </task>
-    <task id="LOCAL-00007" summary="add q26/q43">
-      <created>1580496640692</created>
-      <option name="number" value="00007" />
-      <option name="presentableId" value="LOCAL-00007" />
-      <option name="project" value="LOCAL" />
-      <updated>1580496640692</updated>
+      <workItem from="1585223904505" duration="5628000" />
     </task>
     <task id="LOCAL-00008" summary="add q46">
       <created>1580585083883</created>
@@ -609,7 +602,14 @@
       <option name="project" value="LOCAL" />
       <updated>1585226292788</updated>
     </task>
-    <option name="localTasksCounter" value="56" />
+    <task id="LOCAL-00056" summary="add q34">
+      <created>1585230484320</created>
+      <option name="number" value="00056" />
+      <option name="presentableId" value="LOCAL-00056" />
+      <option name="project" value="LOCAL" />
+      <updated>1585230484320</updated>
+    </task>
+    <option name="localTasksCounter" value="57" />
     <servers />
   </component>
   <component name="TypeScriptGeneratedFilesManager">
@@ -662,7 +662,6 @@
     </option>
   </component>
   <component name="VcsManagerConfiguration">
-    <MESSAGE value="add q42" />
     <MESSAGE value="update md" />
     <MESSAGE value="update q10/q746" />
     <MESSAGE value="update q10" />
@@ -687,7 +686,8 @@
     <MESSAGE value="add q70/q104" />
     <MESSAGE value="add q19" />
     <MESSAGE value="add q32" />
-    <option name="LAST_COMMIT_MESSAGE" value="add q32" />
+    <MESSAGE value="add q34" />
+    <option name="LAST_COMMIT_MESSAGE" value="add q34" />
   </component>
   <component name="WindowStateProjectService">
     <state x="320" y="115" key="#Inspections" timestamp="1581061018990">
@@ -702,10 +702,10 @@
       <screen x="0" y="0" width="1440" height="900" />
     </state>
     <state x="533" y="166" key="#com.intellij.ide.util.MemberChooser/0.0.1440.900@0.0.1440.900" timestamp="1578548165321" />
-    <state x="303" y="50" key="CommitChangelistDialog2" timestamp="1585226292610">
+    <state x="303" y="50" key="CommitChangelistDialog2" timestamp="1585230484170">
       <screen x="0" y="0" width="1440" height="900" />
     </state>
-    <state x="303" y="50" key="CommitChangelistDialog2/0.0.1440.900@0.0.1440.900" timestamp="1585226292610" />
+    <state x="303" y="50" key="CommitChangelistDialog2/0.0.1440.900@0.0.1440.900" timestamp="1585230484170" />
     <state x="143" y="78" width="1152" height="720" key="DiffContextDialog" timestamp="1585027870766">
       <screen x="0" y="0" width="1440" height="900" />
     </state>
@@ -760,10 +760,10 @@
       <screen x="0" y="0" width="1440" height="900" />
     </state>
     <state x="221" y="63" key="SettingsEditor/0.0.1440.900@0.0.1440.900" timestamp="1585223890241" />
-    <state x="320" y="190" key="Vcs.Push.Dialog.v2" timestamp="1585226293961">
+    <state x="320" y="190" key="Vcs.Push.Dialog.v2" timestamp="1585230485339">
       <screen x="0" y="0" width="1440" height="900" />
     </state>
-    <state x="320" y="190" key="Vcs.Push.Dialog.v2/0.0.1440.900@0.0.1440.900" timestamp="1585226293961" />
+    <state x="320" y="190" key="Vcs.Push.Dialog.v2/0.0.1440.900@0.0.1440.900" timestamp="1585230485339" />
     <state x="100" y="100" width="1240" height="700" key="com.intellij.history.integration.ui.views.DirectoryHistoryDialog" timestamp="1581744794182">
       <screen x="0" y="23" width="1440" height="797" />
     </state>
diff --git a/README.md b/README.md
index 3431465..225f361 100644
--- a/README.md
+++ b/README.md
@@ -85,6 +85,7 @@
 
 * [q5_最长回文子串](/src/动态规划/q5_最长回文子串)
 * [q53_最大子序和](/src/动态规划/q53_最大子序和)
+* [q64_最小路径和](/src/动态规划/q64_最小路径和)
 * [q70_爬楼梯](/src/动态规划/q70_爬楼梯)
 * [q118_杨辉三角](/src/动态规划/q118_杨辉三角)
 * [q300_最长上升子序列](/src/动态规划/q300_最长上升子序列)
diff --git a/src/动态规划/q64_最小路径和/Solution.java b/src/动态规划/q64_最小路径和/Solution.java
new file mode 100644
index 0000000..8dd994b
--- /dev/null
+++ b/src/动态规划/q64_最小路径和/Solution.java
@@ -0,0 +1,26 @@
+package 动态规划.q64_最小路径和;
+
+/**
+ * 动态规划 dp(j)=grid(i,j)+min(dp(j),dp(j+1)) o(m*n)
+ */
+public class Solution {
+
+    public int minPathSum(int[][] grid) {
+        int[] dp = new int[grid[0].length];
+        for (int i = grid.length - 1; i >= 0; i--) {
+            for (int j = grid[0].length - 1; j >= 0; j--) {
+                if (i == grid.length - 1 && j != grid[0].length - 1) {
+                    dp[j] = grid[i][j] + dp[j + 1];
+                } else if (j == grid[0].length - 1 && i != grid.length - 1) {
+                    dp[j] = grid[i][j] + dp[j];
+                } else if (j != grid[0].length - 1 && i != grid.length - 1) {
+                    dp[j] = grid[i][j] + Math.min(dp[j], dp[j + 1]);
+
+                } else {
+                    dp[j] = grid[i][j];
+                }
+            }
+        }
+        return dp[0];
+    }
+}