import java.util.Arrays;
import java.util.Collections;
import java.util.List;

public class Bins {
    public static <T extends Comparable<? super T>> int[] bins(
            List<? extends T> limits, Iterable<? extends T> data) {
        int[] result = new int[limits.size() + 1];
        for (T n : data) {
            int i = Collections.binarySearch(limits, n);
            if (i >= 0) {
                // n == limits[i]; we put it in right-side bin (i+1)
                i = i+1;
            } else {
                // n is not in limits and i is ~(insertion point)
                i = ~i;
            }
            result[i]++;
        }
        return result;
    }

    public static void printBins(List<?> limits, int[] bins) {
        int n = limits.size();
        if (n == 0) {
            return;
        }
        assert n+1 == bins.length;
        System.out.printf("           < %3s: %2d\n", limits.get(0), bins[0]);
        for (int i = 1; i < n; i++) {
            System.out.printf(">= %3s and < %3s: %2d\n", limits.get(i-1), limits.get(i), bins[i]);
        }
        System.out.printf(">= %3s          : %2d\n", limits.get(n-1), bins[n]);
    }

    public static void main(String[] args) {
        List<Integer> limits = Arrays.asList(23, 37, 43, 53, 67, 83);
        List<Integer> data = Arrays.asList(
            95, 21, 94, 12, 99, 4,  70, 75, 83, 93, 52, 80, 57, 5,  53, 86, 65,
            17, 92, 83, 71, 61, 54, 58, 47, 16, 8,  9,  32, 84, 7,  87, 46, 19,
            30, 37, 96, 6,  98, 40, 79, 97, 45, 64, 60, 29, 49, 36, 43, 55);

        System.out.println("Example 1:");
        printBins(limits, bins(limits, data));

        limits = Arrays.asList(14,  18,  249, 312, 389,
                               392, 513, 591, 634, 720);
        data = Arrays.asList(
            445, 814, 519, 697, 700, 130, 255, 889, 481, 122, 932, 77,  323, 525,
            570, 219, 367, 523, 442, 933, 416, 589, 930, 373, 202, 253, 775, 47,
            731, 685, 293, 126, 133, 450, 545, 100, 741, 583, 763, 306, 655, 267,
            248, 477, 549, 238, 62,  678, 98,  534, 622, 907, 406, 714, 184, 391,
            913, 42,  560, 247, 346, 860, 56,  138, 546, 38,  985, 948, 58,  213,
            799, 319, 390, 634, 458, 945, 733, 507, 916, 123, 345, 110, 720, 917,
            313, 845, 426, 9,   457, 628, 410, 723, 354, 895, 881, 953, 677, 137,
            397, 97,  854, 740, 83,  216, 421, 94,  517, 479, 292, 963, 376, 981,
            480, 39,  257, 272, 157, 5,   316, 395, 787, 942, 456, 242, 759, 898,
            576, 67,  298, 425, 894, 435, 831, 241, 989, 614, 987, 770, 384, 692,
            698, 765, 331, 487, 251, 600, 879, 342, 982, 527, 736, 795, 585, 40,
            54,  901, 408, 359, 577, 237, 605, 847, 353, 968, 832, 205, 838, 427,
            876, 959, 686, 646, 835, 127, 621, 892, 443, 198, 988, 791, 466, 23,
            707, 467, 33,  670, 921, 180, 991, 396, 160, 436, 717, 918, 8,   374,
            101, 684, 727, 749);

        System.out.println();
        System.out.println("Example 2:");
        printBins(limits, bins(limits, data));
    }
}