Create maximize-score-of-numbers-in-ranges.cpp

Author: kamyu104

C++/maximize-score-of-numbers-in-ranges.cpp

@@ -0,0 +1,32 @@
+// Time:  O(nlogn + nlogr) = O(nlogr)
+// Space: O(1)
+
+// binary search, greedy
+class Solution {
+public:
+    int maxPossibleScore(vector<int>& start, int d) {
+        const auto& binary_search_right = [](int left, int right, const auto& check) {
+            while (left <= right) {
+                int mid = left + (right - left) / 2;
+                if (!check(mid)) {
+                    right = mid - 1;
+                } else {
+                    left = mid + 1;
+                }
+            }
+            return right;
+        };
+
+        sort(begin(start), end(start));
+        return binary_search_right(1, (start.back() + d) - start.front(), [&](int x) {
+            int64_t curr = start[0];
+            for (int i = 1; i < size(start); ++i) {
+                curr = max(curr + x, static_cast<int64_t>(start[i]));
+                if (curr > start[i] + d) {
+                    return false;
+                }
+            }
+            return true;
+        });
+    }
+};