Add files via upload

Author: MathProgrammer

C Programs/C Programs - 3/Adjacent Bit Counts.cpp

@@ -0,0 +1,45 @@
+#include <cstdio>
+
+const int MAX_BITS = 100 + 4;
+int total_strings[MAX_BITS][MAX_BITS] = {0};
+
+void precompute()
+{
+    int no_of_strings[MAX_BITS][MAX_BITS][2] = {0};
+    const int ZERO_FIRST = 0, ONE_FIRST = 1;
+
+    no_of_strings[1][0][ZERO_FIRST] = 1, no_of_strings[1][0][ONE_FIRST] = 1, total_strings[1][0] = 1 + 1;
+    no_of_strings[1][1][ZERO_FIRST] = 0, no_of_strings[1][1][ONE_FIRST] = 0, total_strings[1][1] = 0 + 0;
+
+    for(int i = 2; i < MAX_BITS; i++)
+    {
+        no_of_strings[i][0][ZERO_FIRST] = total_strings[i - 1][0];
+        no_of_strings[i][0][ONE_FIRST] = no_of_strings[i - 1][0][ZERO_FIRST];
+        total_strings[i][0] = no_of_strings[i][0][ZERO_FIRST] + no_of_strings[i][0][ONE_FIRST];
+
+        for(int set_bits = 1; set_bits < i; set_bits++)
+        {
+            no_of_strings[i][set_bits][ZERO_FIRST] = total_strings[i - 1][set_bits];
+            no_of_strings[i][set_bits][ONE_FIRST]  = no_of_strings[i - 1][set_bits][ZERO_FIRST] + no_of_strings[i - 1][set_bits - 1][ONE_FIRST];
+
+            total_strings[i][set_bits] = no_of_strings[i][set_bits][ZERO_FIRST] + no_of_strings[i][set_bits][ONE_FIRST];
+        }
+    }
+}
+
+int main()
+{
+    precompute();
+
+    int no_of_test_cases;
+    scanf("%d", &no_of_test_cases);
+
+    while(no_of_test_cases--)
+    {
+        int test_i, no_of_bits, no_of_set_bits;
+        scanf("%d %d %d", &test_i, &no_of_bits, &no_of_set_bits);
+        printf("%d %d\n", test_i, total_strings[no_of_bits][no_of_set_bits]);
+    }
+
+    return 0;
+}