nt fraction_info[MAX_FRACTION_COUNT][3] =
    {
        { 20,  1, 10 },
        { 30, 11, 20 },
        { 20, 21, 30 },
        { 15, 31, 40 },
        {  5, 41, 50 },
        {  4, 51, 60 },
        {  3, 61, 70 },
        {  2, 71, 80 },
        {  1, 81, 90 },
    };