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source/DP/SlopeTrick.cpp

@@ -0,0 +1,52 @@
+const int N = 1e6+7;
+int arr[N];
+priority_queue<int> pq;
+ll ans = 0;
+int main()
+{
+    getint(n);
+    forr(i, n) scanf("%d", arr+i);
+    
+    pq.push(arr[1]); int t=0; ll val = 0;
+    fors(i, 2, n)
+    {
+        t++;
+        int r = t + pq.top();
+        if(r <= arr[i]) pq.push(arr[i]-t);
+        else
+        {
+            pq.push(arr[i]-t); pq.push(arr[i]-t); pq.pop();
+            ans += r-arr[i];
+        }
+    }
+    
+    printf("%lld", ans);
+}
+
+
+int arr[N];
+priority_queue<int> pq;
+int ans2[N];
+int main()
+{
+    getint(n);
+    forr(i, n) scanf("%d", arr+i);
+    
+    pq.push(arr[1]); ll ans = 0;
+    ans2[1] = arr[1];
+    fors(i, 2, n)
+    {
+        int r = (i-1) + pq.top();
+        if(r <= arr[i]) pq.push(arr[i]-(i-1));
+        else
+        {
+            pq.push(arr[i]-(i-1)); pq.push(arr[i]-(i-1)); pq.pop();
+            ans += r-arr[i];
+        }
+        
+        ans2[i] = pq.top() + (i-1);
+    }
+    
+    fore(i, n-1, 1) ans2[i] = min(ans2[i], ans2[i+1]-1);
+    forr(i, n) printf("%d\n", ans2[i]);
+}