Create maximize-the-minimum-game-score.cpp

Author: kamyu104

C++/maximize-the-minimum-game-score.cpp

@@ -0,0 +1,43 @@
+// Time:  O(n * log(m * r))
+// Space: O(1)
+
+// binary search, greedy
+class Solution {
+public:
+    long long maxScore(vector<int>& points, int m) {
+        const auto& ceil_divide = [](int64_t a, int64_t b) {
+            return (a + b - 1) / b;
+        };
+
+        const auto& binary_search_right = [&](int64_t left, int64_t right, const auto& check) {
+            while (left <= right) {
+                const auto mid = left + (right - left) / 2;
+                if (!check(mid)) {
+                    right = mid - 1;
+                } else {
+                    left = mid + 1;
+                }
+            }
+            return right;
+        };
+
+        const auto& check = [&](int64_t x) {
+            for (int64_t i = 0, prev = 0, cnt = 0; i < size(points); ++i) {
+                const auto remain = ceil_divide(x, points[i]) - prev;
+                if (remain >= 1) {
+                    prev = remain - 1;
+                    cnt += 2 * remain - 1;
+                } else if (i != size(points) - 1) {
+                    prev = 0;
+                    ++cnt;
+                }
+                if (cnt > m) {
+                    return false;
+                };
+            }
+            return true;
+        };
+
+        return binary_search_right(1, static_cast<int64_t>(ranges::max(points)) * m, check);
+    }
+};