1 files changed, 36 insertions, 0 deletions
diff --git a/ThePowerSum/ThePowerSum.cpp b/ThePowerSum/ThePowerSum.cpp
new file mode 100644
index 0000000..7f7e032
--- /dev/null
+++ b/ThePowerSum/ThePowerSum.cpp
@@ -0,0 +1,36 @@
+#include<bits/stdc++.h>
+
+using namespace std;
+
+int power(int base, int p){
+  if(p == 0) {
+    return 1;
+  }
+  return base * (power(base, p - 1));
+}
+
+vector<int> ans;
+
+int powerSum(int x, int n, int lastDigit) {
+  if (x == 0) {
+    for(int x : ans) {
+      cout << x << "^" << n << " + ";
+    }
+    cout << endl;
+    return 1;
+  }
+  int sum = 0;
+  for(int i = lastDigit; x - power(i, n) >= 0; i++) {
+    ans.push_back(i);
+    sum += powerSum(x - power(i, n), n, i + 1);
+    ans.pop_back();
+  }
+  return sum;
+}
+
+int main() {
+  int x, n, count = 0;
+  cin >> x >> n;
+  cout <<  powerSum(x, n, 1) << endl;
+  return 0;
+}