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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>

#define WINDOW_SIZE 1000  // Example window size
#define MAX_BUCKETS 64  // Maximum number of buckets

typedef struct Bucket {
    int count;  // Count of 1's in the bucket
    time_t timestamp;  // Timestamp of the most recent 1 in the bucket
} Bucket;

typedef struct DGIM {
    Bucket buckets[MAX_BUCKETS];
    int numBuckets;
    time_t windowStart;
} DGIM;

void initializeDGIM(DGIM *dgim) {
    dgim->numBuckets = 0;
    dgim->windowStart = time(NULL);
}

void update(DGIM *dgim, int bit) {
    time_t currentTime = time(NULL);

    // Slide the window
    dgim->windowStart = currentTime - WINDOW_SIZE;

    // If the bit is 1, add a new bucket
    if (bit == 1) {
        if (dgim->numBuckets >= MAX_BUCKETS) {
            // Merge or discard buckets if necessary
            printf("Exceeded max buckets, implement merging logic\n");
            // Placeholder: in a full implementation, you'd merge the oldest two buckets here
        }

        // Add new bucket
        dgim->buckets[dgim->numBuckets].count = 1;
        dgim->buckets[dgim->numBuckets].timestamp = currentTime;
        dgim->numBuckets++;
    }

    // Remove buckets outside the window
    for (int i = 0; i < dgim->numBuckets; i++) {
        if (dgim->buckets[i].timestamp < dgim->windowStart) {
            // Shift all buckets down
            for (int j = i; j < dgim->numBuckets - 1; j++) {
                dgim->buckets[j] = dgim->buckets[j + 1];
            }
            dgim->numBuckets--;
            i--;  // Adjust index since we've shifted buckets
        }
    }
}

int getApproximateCount(DGIM *dgim) {
    int count = 0;
    for (int i = 0; i < dgim->numBuckets; i++) {
        count += dgim->buckets[i].count;
    }
    return count;  // This is an approximation
}

int main() {
    DGIM dgim;
    initializeDGIM(&dgim);

    // Simulate stream - this should be replaced with actual stream handling
    for (int i = 0; i < 1000; i++) {
        update(&dgim, i % 2);  // Example: alternating 1's and 0's
    }

    printf("Approximate count of 1's in the window: %d\n", getApproximateCount(&dgim));

    return 0;
}