From e5b7ce55049265c4391d910ed44c9a89b5131266 Mon Sep 17 00:00:00 2001
From: Haidong Ji
Date: Fri, 28 Sep 2018 17:56:55 -0500
Subject: Max num of prize places done!

Eclipse (I'm currently using Photon) "the type integer is invisible"
error is really annoying. I adjusted Java compiler to version 10, which
appeared to fix, but it came back. (10 is the version from command line
"java --version") Hopefully a restart will take care of it for good.---
 .../sources/DifferentSummands.java                 | 39 ++++++++++++++++++++++
 .../tests/DifferentSummandsTest.java               | 37 ++++++++++++++++++++
 2 files changed, 76 insertions(+)
 create mode 100644 AlgoDesignAndTechniqueEdxJava/sources/DifferentSummands.java
 create mode 100644 AlgoDesignAndTechniqueEdxJava/tests/DifferentSummandsTest.java

diff --git a/AlgoDesignAndTechniqueEdxJava/sources/DifferentSummands.java b/AlgoDesignAndTechniqueEdxJava/sources/DifferentSummands.java
new file mode 100644
index 0000000..1be417c
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxJava/sources/DifferentSummands.java
@@ -0,0 +1,39 @@
+import java.util.ArrayList;
+import java.util.List;
+import java.util.Scanner;
+
+public class DifferentSummands {
+
+	public static void main(String[] args) {
+		Scanner scanner = new Scanner(System.in);
+		int n = scanner.nextInt();
+		List<Integer> summands = getOptimalSummands(n);
+		System.out.println(summands.size());
+		for (Integer summand : summands) {
+			System.out.print(summand + " ");
+		}
+	}
+
+	public static List<Integer> getOptimalSummands(int n) {
+		List<Integer> summands = new ArrayList<Integer>();
+		if (n < 3) {
+			summands.add(n);
+			return summands;
+		}
+		int runningSum = 0;
+		for (int i = 1; i < n + 1; i++) {
+			runningSum = runningSum + i;
+			summands.add(i);
+			if (runningSum == n) {
+				break;
+			}
+			if (runningSum > n) {
+				summands.remove(summands.size() - 1);
+				summands.set(summands.size() - 1, summands.get(summands.size() - 1).intValue() + n - runningSum + i);
+				break;
+			}
+		}
+		return summands;
+	}
+
+}
diff --git a/AlgoDesignAndTechniqueEdxJava/tests/DifferentSummandsTest.java b/AlgoDesignAndTechniqueEdxJava/tests/DifferentSummandsTest.java
new file mode 100644
index 0000000..5732642
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxJava/tests/DifferentSummandsTest.java
@@ -0,0 +1,37 @@
+import static org.junit.jupiter.api.Assertions.*;
+
+import org.junit.jupiter.api.Test;
+
+class DifferentSummandsTest {
+
+	@Test
+	void test() {
+		int n = 6;
+		assertEquals(3, DifferentSummands.getOptimalSummands(n).size());
+	}
+
+	@Test
+	void test1() {
+		int n = 8;
+		assertEquals(3, DifferentSummands.getOptimalSummands(n).size());
+	}
+
+	@Test
+	void test2() {
+		int n = 2;
+		assertEquals(1, DifferentSummands.getOptimalSummands(n).size());
+	}
+
+	@Test
+	void test3() {
+		int n = 4;
+		assertEquals(2, DifferentSummands.getOptimalSummands(n).size());
+	}
+
+	@Test
+	void test4() {
+		int n = 4;
+		assertEquals(3, DifferentSummands.getOptimalSummands(n).get(1).intValue());
+	}
+
+}
-- 
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