打表

咱们看下金币数 1 2 2 3 3 3 4 4 4 4 5 5 5 5...... 我想到了用计数排序

for i:n
    a[i]=i

然后输出加， 再存到一个数组里面，然后前缀和

#include <bits/stdc++.h>
using namespace std;
long double a[10001]={1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,5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41,141,141,141};
long double b[10001]={1};
int main(){
    for(int i=1;i<10001;i++){
        b[i]+=b[i-1]+a[i];
    }
    int n;
    cin>>n;
    cout<<b[n-1];
} 

当然，前缀和也可以继续存储，但是代码量太大了，洛谷提交不了，可以上牛客

#include <bits/stdc++.h>
using namespace std;
//利用桶排序打表 
long double b[10000]={1,3,5,8,11,14,18,22,26,30,35,40,45,50,55,61,67,73,79,85,91,98,105,112,119,126,133,140,148,156,164,172,180,188,196,204,213,222,231,240,249,258,267,276,285,295,305,315,325,335,345,355,365,375,385,396,407,418,429,440,451,462,473,484,495,506,518,530,542,554,566,578,590,602,614,626,638,650,663,676,689,702,715,728,741,754,767,780,793,806,819,833,847,861,875,889,903,917,931,945,959,973,987,1001,1015,1030,1045,1060,1075,1090,1105,1120,1135,1150,1165,1180,1195,1210,1225,1240,1256,1272,1288,1304,1320,1336,1352,1368,1384,1400,1416,1432,1448,1464,1480,1496,1513,1530,1547,1564,1581,1598,1615,1632,1649,1666,1683,1700,1717,1734,1751,1768,1785,1803,1821,1839,1857,1875,1893,1911,1929,1947,1965,1983,2001,2019,2037,2055,2073,2091,2109,2128,2147,2166,2185,2204,2223,2242,2261,2280,2299,2318,2337,2356,2375,2394,2413,2432,2451,2470,2490,2510,2530,2550,2570,2590,2610,2630,2650,2670,2690,2710,2730,2750,2770,2790,2810,2830,2850,2870,2891,2912,2933,2954,2975,2996,3017,3038,3059,3080,3101,3122,3143,3164,3185,3206,3227,3248,3269,3290,3311,3333,3355,3377,3399,3421,3443,3465,3487,3509,3531,3553,3575,3597,3619,3641,3663,3685,3707,3729,3751,3773,3795,3818,3841,3864,3887,3910,3933,3956,3979,4002,4025,4048,4071,4094,4117,4140,4163,4186,4209,4232,4255,4278,4301,4324,4348,4372,4396,4420,4444,4468,4492,4516,4540,4564,4588,4612,4636,4660,4684,4708,4732,4756,4780,4804,4828,4852,4876,4900,4925,4950,4975,5000,5025,5050,5075,5100,5125,5150,5175,5200,5225,5250,5275,5300,5325,5350,5375,5400,5425,5450,5475,5500,5525,5551,5577,5603,5629,5655,5681,5707,5733,5759,5785,5811,5837,5863,5889,5915,5941,5967,5993,6019,6045,6071,6097,6123,6149,6175,6201,6228,6255,6282,6309,6336,6363,6390,6417,6444,6471,6498,6525,6552,6579,6606,6633,6660,6687,6714,6741,6768,6795,6822,6849,6876,6903,6930,6958,6986,7014,7042,7070,7098,7126,7154,7182,7210,7238,7266,7294,7322,7350,7378,7406,7434,7462,7490,7518,7546,7574,7602,7630,7658,7686,7714,7743,7772,7801,7830,7859,7888,7917,7946,7975,8004,8033,8062,8091,8120,8149,8178,8207,8236,8265,8294,8323,8352,8381,8410,8439,8468,8497,8526,8555,8585,8615,8645,8675,8705,8735,8765,8795,8825,8855,8885,8915,8945,8975,9005,9035,9065,9095,9125,9155,9185,9215,9245,9275,9305,9335,9365,9395,9425,9455,9486,9517,9548,9579,9610,9641,9672,9703,9734,9765,9796,9827,9858,9889,9920,9951,9982,10013,10044,10075,10106,10137,10168,10199,10230,10261,10292,10323,10354,10385,10416,10448,10480,10512,10544,10576,10608,10640,10672,10704,10736,10768,10800,10832,10864,10896,10928,10960,10992,11024,11056,11088,11120,11152,11184,11216,11248,11280,11312,11344,11376,11408,11440,11473,11506,11539,11572,11605,11638,11671,11704,11737,11770,11803,11836,11869,11902,11935,11968,12001,12034,12067,12100,12133,12166,12199,12232,12265,12298,12331,12364,12397,12430,12463,12496,12529,12563,12597,12631,12665,12699,12733,12767,12801,12835,12869,12903,12937,12971,13005,13039,13073,13107,13141,13175,13209,13243,13277,13311,13345,13379,13413,13447,13481,13515,13549,13583,13617,13651,13685,13720,13755,13790,13825,13860,13895,13930,13965,14000,14035,14070,14105,14140,14175,14210,14245,14280,14315,14350,14385,14420,14455,14490,14525,14560,14595,14630,14665,14700,14735,14770,14805,14840,14875,14910,14946,14982,15018,15054,15090,15126,15162,15198,15234,15270,15306,15342,15378,15414,15450,15486,15522,15558,15594,15630,15666,15702,15738,15774,15810,15846,15882,15918,15954,15990,16026,16062,16098,16134,16170,16206,16243,16280,16317,16354,16391,16428,16465,16502,16539,16576,16613,16650,16687,16724,16761,16798,16835,16872,16909,16946,16983,17020,17057,17094,17131,17168,17205,17242,17279,17316,17353,17390,17427,17464,17501,17538,17575,17613,17651,17689,17727,17765,17803,17841,17879,17917,17955,17993,18031,18069,18107,18145,18183,18221,18259,18297,18335,18373,18411,18449,18487,18525,18563,18601,18639,18677,18715,18753,18791,18829,18867,18905,18943,18981,19019,19058,19097,19136,19175,19214,19253,19292,19331,19370,19409,19448,19487,19526,19565,19604,19643,19682,19721,19760,19799,19838,19877,19916,19955,19994,20033,20072,20111,20150,20189,20228,20267,20306,20345,20384,20423,20462,20501,20540,20580,20620,20660,20700,20740,20780,20820,20860,20900,20940,20980,21020,21060,21100,21140,21180,21220,21260,21300,21340,21380,21420,21460,21500,21540,21580,21620,21660,21700,21740,21780,21820,21860,21900,21940,21980,22020,22060,22100,22140,22181,22222,22263,22304,22345,22386,22427,22468,22509,22550,22591,22632,22673,22714,22755,22796,22837,22878,22919,22960,23001,23042,23083,23124,23165,23206,23247,23288,23329,23370,23411,23452,23493,23534,23575,23616,23657,23698,23739,23780,23821,23863,23905,23947,23989,24031,24073,24115,24157,24199,24241,24283,24325,24367,24409,24451,24493,24535,24577,24619,24661,24703,24745,24787,24829,24871,24913,24955,24997,25039,25081,25123,25165,25207,25249,25291,25333,25375,25417,25459,25501,25543,25585,25628,25671,25714,25757,25800,25843,25886,25929,25972,26015,26058,26101,26144,26187,26230,26273,26316,26359,26402,26445,26488,26531,26574,26617,26660,26703,26746,26789,26832,26875,269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