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                const powCoef = 1.175; // BPIの定義内における"・S'とK'を自然対数:lnに代入し、求めた値を1.5乗する"部分について、Math.pow()関数の第2引数に該当する値

document.write("<h3>1.前提条件</h3>");
const p = 100;
const totalKaidens = 2645;
const m = [40,50,60,70,80,90,100].reverse();
for(let i =0;i < 7;++i){
  const bpi = m[i];
  document.write(`BPI${bpi} = ` + Math.ceil(100 * Math.pow(totalKaidens, (p - bpi ) / p ) ) / 100 + "位<br/>");
}

const exec = (k,z,s,m)=>{
  const pgf = (j)=> j === m ? m : 1 + ( j / m - 0.5 ) / ( 1 - j / m );
  const _s = pgf(s),_k = pgf(k),_z = pgf(z);
  const _s_ = _s / _k, _z_ = _z / _k, p = s >= k;
  return Math.max(-15,Math.round((p ? 100 : -100 ) * ( Math.pow((p ? Math.log(_s_) : -Math.log(_s_)),powCoef) / Math.pow(Math.log(_z_),powCoef) ) * 100) / 100);  
}

document.write("<h3>2.各楽曲BPI</h3><p>(左から100,90,80,70,60,50の価値があるEXスコアをBPI換算したもの)</p><hr/>");
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-[A]":[3144,3124,3115,3093,3074,3038],"少年は空を辿る[A]":[3378,3376,3356,3337,3304,3266],"紅牡丹[A]":[2870,2868,2861,2859,2850,2833],"表裏一体!?怪盗いいんちょの悩み[A]":[3604,3600,3583,3574,3558,3526],"超青少年ノ為ノ超多幸ナ超古典的超舞曲†[A]":[4156,4114,4102,4094,4075,4036],"Adularia[A]":[2877,2875,2870,2859,2847,2822],"Ancient Scapes[A]":[3525,3513,3497,3489,3467,3443],"Ancient Scapes†LEGGENDARIA[A]":[4313,4308,4272,4240,4215,4169],"BLUE DRAGON(雷龍RemixIIDX)[A]":[3403,3396,3386,3366,3335,3302],"Close the World feat. a☆ru[A]":[3437,3430,3421,3413,3398,3369],"Close the World feat.a☆ru†LEGGENDARIA[A]":[3907,3872,3869,3841,3819,3776],"DARK LEGACY[A]":[3610,3600,3593,3587,3568,3544],"Feel The Beat[A]":[3623,3618,3597,3587,3557,3519],"Feel The Beat†LEGGENDARIA[A]":[4381,4351,4333,4317,4293,4246],"INSOMNIA[A]":[3233,3224,3208,3190,3173,3129],"IX[A]":[3935,3903,3870,3848,3823,3782],"Idola[A]":[3613,3604,3595,3588,3578,3554],"Immortal[A]":[3166,3155,3133,3126,3114,3082],"KAISER PHOENIX[A]":[3330,3315,3291,3281,3266,3222],"KAISER PHOENIX†[A]":[3953,3941,3912,3891,3863,3792],"Last Dance[A]":[3276,3261,3255,3247,3231,3208],"PUNISHER[A]":[3595,3590,3585,3569,3554,3528],"Sigmund[A]":[3958,3941,3876,3859,3824,3765],"Sigmund†LEGGENDARIA[A]":[4352,4345,4292,4243,4205,4134],"VOX UP[A]":[3648,3623,3610,3595,3557,3510],"Verflucht[A]":[3581,3578,3574,3562,3554,3528],"Verflucht†LEGGENDARIA[A]":[4738,4720,4711,4691,4636,4593],"invoker[A]":[3224,3213,3199,3189,3165,3137],"invoker†LEGGENDARIA[A]":[3624,3624,3593,3562,3508,3459],"ra'am[A]":[2860,2854,2805,2788,2743,2705],"廿†[A]":[3383,3366,3348,3298,3271,3205],"旋律のドグマ~Miserables~[A]":[3968,3957,3941,3933,3920,3895],"海神[A]":[3218,3216,3187,3174,3158,3131],"煉獄のエルフェリア[A]":[3935,3910,3895,3877,3852,3818],"疾風迅雷[A]":[2944,2937,2923,2905,2885,2851],"疾風迅雷†LEGGENDARIA[A]":[3513,3500,3457,3439,3386,3332],"轟け!恋のビーンボール!![A]":[3602,3583,3577,3560,3533,3484],"Confiserie[A]":[3581,3566,3556,3536,3515,3473],"DAY DREAM[A]":[2084,2064,2044,2033,2004,1980],"Devilz Staircase[A]":[3332,3301,3290,3275,3242,3209],"Elemental Creation[A]":[4180,4164,4161,4116,4097,4051],"GAIA[A]":[3331,3325,3316,3311,3297,3280],"Hollywood Galaxy[A]":[2755,2747,2738,2730,2713,2685],"JOMANDA[A]":[3755,3741,3698,3665,3632,3585],"Liberation[A]":[3773,3753,3724,3712,3703,3683],"Little Star[A]":[3217,3212,3194,3187,3168,3133],"Plan 8[A]":[3228,3203,3180,3161,3111,3063],"Proof of the existence[A]":[3267,3265,3240,3232,3207,3183],"STULTI[A]":[2774,2766,2760,2752,2729,2689],"SYNC-ANTHEM[A]":[3685,3670,3662,3656,3634,3617],"Sol Cosine Job 2[A]":[3186,3183,3171,3140,3112,3068],"Thor's Hammer[A]":[3103,3098,3047,3023,2990,2932],"Timepiece phase II[A]":[3282,3280,3256,3231,3215,3173],"Timepiece phase II (CN Ver.)[A]":[3034,3032,2998,2973,2947,2900],"True Blue[A]":[3778,3770,3763,3754,3745,3724],"Valanga[A]":[3271,3261,3247,3243,3232,3214],"Zirkfied[A]":[3889,3881,3825,3806,3761,3710],"neu[A]":[3947,3941,3930,3908,3898,3859],"ΕΛΠΙΣ[A]":[3166,3166,3152,3141,3131,3110],"†渚の小悪魔ラヴリィ~レイディオ†(IIDX EDIT)[A]":[3602,3594,3576,3566,3549,3496],"たまゆら[A]":[2782,2777,2772,2766,2753,2727],"アストライアの双皿[A]":[3221,3210,3181,3158,3131,3086],"キャトられ恋はモ~モク[A]":[3874,3860,3843,3836,3790,3740],"シュレーディンガーの猫[A]":[3412,3403,3393,3387,3371,3348],"トリカゴノ鳳凰[A]":[3818,3810,3808,3786,3768,3730],"仮想空間の旅人たち†[A]":[3868,3867,3858,3853,3831,3809],"即席!脳直★ミュージックシステム[A]":[3613,3606,3585,3564,3534,3488],"狂イ咲ケ焔ノ華[A]":[3659,3658,3638,3624,3592,3563],"音楽[A]":[2854,2829,2823,2805,2770,2739],"龍と少女とデコヒーレンス†[A]":[3397,3391,3389,3356,3325,3289],"BLACK.by X-Cross Fade[A]":[3434,3430,3394,3380,3338,3300],"DIAVOLO[A]":[3279,3246,3233,3206,3173,3122],"F[A]":[3588,3585,3567,3558,3542,3517],"HAERETICUS[A]":[3095,3080,3070,3051,3020,2988],"NNRT[A]":[3523,3514,3508,3501,3485,3458],"QUANTUM TELEPORTATION†[A]":[3656,3645,3638,3613,3599,3555],"Snake Stick[A]":[2806,2776,2751,2716,2686,2647],"The Limbo[A]":[3368,3367,3354,3343,3331,3302],"The Sampling Paradise[A]":[3067,3054,3041,3026,3009,2983],"Thunderbolt[A]":[3786,3779,3766,3760,3740,3710],"Todestrieb[A]":[3440,3437,3434,3430,3424,3407],"WONDER WALKER[A]":[3810,3809,3793,3782,3771,3753],"YAKSHA[A]":[3938,3925,3900,3885,3871,3826],"fffff[A]":[3196,3188,3154,3140,3117,3088],"quaver♪[A]":[3461,3447,3444,3432,3417,3393],"天空の夜明け[A]":[4070,4052,4046,4036,4014,3974],"子供の落書き帳[A]":[2712,2707,2676,2657,2631,2598],"恋する☆宇宙戦争っ!![A]":[3628,3615,3600,3577,3555,3499],"聖人の塔[A]":[3056,3049,3025,2987,2969,2936],"ALBIDA[A]":[3034,3028,3018,3004,2987,2959],"Broken[A]":[3183,3178,3172,3164,3152,3138],"Dances with Snow Fairies[A]":[3180,3169,3145,3120,3100,3067],"ELECTRIC MASSIVE DIVER[A]":[3729,3716,3707,3693,3675,3647],"New Castle Legions[A]":[2777,2770,2752,2738,2716,2673],"PARADISE LOST[A]":[3367,3365,3345,3329,3294,3240],"SPECIAL SUMMER CAMPAIGN![A]":[2996,2994,2984,2975,2959,2937],"Session 9 -Chronicles-[A]":[3664,3636,3622,3608,3590,3541],"Watch Out Pt.2[A]":[2951,2927,2896,2871,2844,2790],"perditus†paradisus[A]":[3966,3960,3927,3886,3868,3803],"reunion[A]":[3285,3284,3260,3245,3222,3190],"sakura storm[A]":[2435,2423,2418,2412,2398,2377],"灼熱Beach Side Bunny[A]":[3285,3248,3193,3170,3106,3054],"黒髪乱れし修羅となりて[A]":[3473,3464,3453,3446,3435,3408],"Almagest[A]":[3189,3173,3166,3146,3132,3094],"Bad Maniacs[A]":[3275,3275,3249,3238,3220,3204],"DOMINION[A]":[3245,3220,3218,3208,3197,3171],"EXUSIA[A]":[3882,3882,3860,3850,3835,3802],"Evans[A]":[2844,2841,2827,2816,2796,2754],"G59[A]":[3934,3930,3911,3901,3888,3846],"GOLDEN CROSS[A]":[3513,3512,3501,3494,3481,3457],"Red. by Full Metal Jacket[A]":[3217,3212,3178,3160,3132,3090],"SOLID STATE SQUAD[A]":[3610,3584,3570,3564,3545,3523],"SOLID STATE SQUAD†[A]":[3695,3684,3649,3636,3606,3560],"eRAseRmOToRpHAntOM[A]":[3326,3323,3296,3278,3259,3220],"mosaic[A]":[3015,3011,3006,3003,2999,2992],"quell~the seventh slave~[A]":[3234,3211,3192,3173,3160,3134],"ワルツ第17番 ト短調”大犬のワルツ”[A]":[3268,3255,3216,3205,3180,3137],"3y3s[A]":[3626,3606,3582,3566,3534,3472],"BITTER CHOCOLATE STRIKER[A]":[3955,3948,3932,3918,3902,3880],"Colorful Cookie[A]":[3522,3520,3512,3506,3493,3476],"Go Beyond!![A]":[2292,2252,2242,2226,2196,2173],"Kung-fu Empire†[A]":[3945,3944,3927,3911,3885,3846],"THANK YOU FOR PLAYING†[A]":[3021,3015,3001,2973,2946,2897],"Y&Co. is dead or alive[A]":[2838,2835,2801,2775,2743,2697],"不沈艦CANDY[A]":[3322,3317,3309,3302,3292,3272],"卑弥呼[A]":[4107,4056,4047,4005,3974,3918],"Blue Rain†[A]":[3368,3361,3337,3329,3309,3277],"ICARUS[A]":[2491,2489,2468,2444,2415,2389],"ICARUS†[A]":[3805,3774,3726,3655,3620,3563],"MENDES[A]":[3620,3597,3580,3566,3537,3507],"PARANOiA ~HADES~[A]":[2766,2741,2717,2704,2685,2666],"Ristaccia[A]":[2755,2750,2747,2740,2727,2712],"TROOPERS[A]":[2971,2957,2952,2943,2933,2912],"Ubertreffen†[A]":[3282,3263,3256,3244,3228,3193],"oratio[A]":[2959,2957,2945,2936,2923,2902],"少年A[A]":[2848,2848,2834,2803,2787,2752],"Candy Galy[A]":[3571,3567,3555,3550,3541,3519],"FIRE FIRE[A]":[2799,2795,2777,2770,2749,2738],"Fascination MAXX[A]":[2538,2535,2491,2455,2428,2398],"GRID KNIGHT†[A]":[3476,3471,3465,3461,3449,3431],"KAMAITACHI†[A]":[3904,3878,3837,3819,3786,3718],"LASER CRUSTER[A]":[3255,3246,3236,3214,3195,3169],"Sense 2007[A]":[3001,2987,2970,2955,2937,2893],"VANESSA[A]":[2435,2429,2415,2403,2386,2363],"VANESSA†[A]":[3455,3423,3394,3364,3330,3273],"電人、暁に斃れる。[A]":[3418,3409,3395,3381,3366,3340],"CONTRACT†[A]":[2800,2798,2781,2766,2747,2707],"Concertino in Blue[A]":[2553,2541,2522,2490,2458,2429],"DUE TOMORROW[A]":[2075,2070,2042,2021,1998,1968],"waxing and wanding†[A]":[3970,3955,3946,3940,3926,3892],"カゴノトリ~弐式~[A]":[2640,2637,2631,2622,2610,2596],"嘆きの樹[A]":[3936,3914,3888,3879,3860,3816],"Little Little Princess†[A]":[3826,3821,3805,3781,3764,3731],"SCREAM SQUAD[A]":[2114,2107,2095,2083,2062,2034],"Scripted Connection⇒ A mix[A]":[3126,3111,3104,3094,3076,3053],"rage against usual[A]":[3009,3000,2980,2963,2939,2902],"冥[A]":[3875,3875,3823,3794,3746,3696],"AA[A]":[3637,3633,3623,3617,3608,3593],"FAKE TIME[A]":[2412,2394,2385,2372,2356,2338],"RED ZONE†[A]":[3107,3105,3078,3071,3044,3021],"gigadelic[H]":[2193,2192,2181,2159,2142,2125],"gigadelic[A]":[2565,2561,2547,2526,2513,2490],"spiral galaxy†[A]":[3790,3789,3769,3753,3726,3695],"ピアノ協奏曲第1番”蠍火”[A]":[2751,2731,2712,2685,2650,2618],"Innocent Walls[H]":[2550,2515,2498,2484,2468,2439],"Innocent Walls[A]":[2873,2859,2832,2816,2797,2767],"One More Lovely[A]":[2861,2855,2842,2833,2815,2790],"雪月花[A]":[2558,2547,2532,2521,2510,2491],"moon_child[A]":[2566,2558,2546,2534,2525,2503],"one or eight[A]":[2329,2323,2287,2276,2259,2237],"PLEASE DON'T GO[A]":[2475,2468,2464,2448,2429,2404],"桜[A]":[2194,2190,2157,2147,2123,2093],"A[A]":[2496,2491,2485,2481,2464,2437],"Colors (radio edit)[A]":[2473,2462,2447,2444,2429,2411],"V[A]":[3030,3024,3017,3004,2992,2980],"Welcome†[A]":[3357,3356,3333,3313,3288,3258],"AIR RAID FROM THA UNDAGROUND†[A]":[3022,3021,3012,2987,2973,2921],"B4U(BEMANI FOR YOU MIX)†[A]":[4611,4582,4569,4549,4512,4436],"THE DEEP STRIKER†[A]":[3535,3532,3518,3491,3473,3429],"Twelfth Style†[A]":[3297,3285,3265,3230,3201,3156]};


let pws = [0,0,0,0,0,0];
let cycles = 0;
Object.keys(songs).map(item=>{
  const pfx = songs[item];
  const scx = scores[item];
  const ans = [];
  if(scx){
    for(let i=0;i < scx.length;++i){
      const res = exec(pfx.avg,pfx.wr,scx[i],pfx.max);
      ans.push(res);
      pws[i] += res;
    }
    ++cycles;
    document.write(item + " : " + JSON.stringify(ans) + "<br/>")
  }
})


document.write("<br/><hr/><br/>平均値:" + pws.map(item=>{
  return item / cycles + " "
}))
              
            
!
999px

Console