Add github workflow

.github/workflows/build-and-deploy.yaml

@@ -0,0 +1,60 @@
+name: "Build and push to ECR"
+on:
+  push:
+    branches:
+      - main
+jobs:
+  BuildAndDeploy:
+    name: "Build and Deploy"
+    runs-on: ubuntu-latest
+
+    permissions:
+      id-token: write
+      contents: read
+
+    steps:
+      - name: Checkout Repository
+        uses: actions/checkout@v4
+
+      - name: Install Rust
+        uses: actions-rs/toolchain@v1
+        with:
+          toolchain: stable
+          profile: minimal
+          override: true
+
+      - name: Build Rust binary
+        run: |
+          pip install cargo-lambda
+          cargo lambda build --release
+
+      - name: Cache cargo registry
+        uses: actions/cache@v3
+        continue-on-error: false
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+          key: cargo-build-cache
+
+      - name: Configure AWS Credentials
+        uses: aws-actions/configure-aws-credentials@v4
+        with:
+          aws-region: us-east-1
+          role-to-assume: arn:aws:iam::417600709600:role/online-judge-rust-github-actions
+          role-session-name: GithubBuildAndDeploy
+
+      - name: Login to Amazon ECR
+        id: login-ecr
+        uses: aws-actions/amazon-ecr-login@v2
+
+      - name: Build, tag, and push image to Amazon ECR
+        id: build-image
+        env:
+          ECR_REGISTRY: ${{ steps.login-ecr.outputs.registry }}
+          ECR_REPOSITORY: "online-judge-rust"
+          IMAGE_TAG: latest
+        run: |
+          docker build -t $ECR_REGISTRY/$ECR_REPOSITORY:$IMAGE_TAG .
+          docker push $ECR_REGISTRY/$ECR_REPOSITORY:$IMAGE_TAG
+          echo "::set-output name=image::$ECR_REGISTRY/$ECR_REPOSITORY:$IMAGE_TAG"