2012 Multi-University Training Contest 9 / hdu4389
打巨表,实为数位dp 还不太懂 先这样放着。。
对于打表,当然我们不能直接打,这里有技巧。我们可以这样:每隔100000我们统计一次,这样在10^9范围内,我们得到10000个数。
然后就很好解决了。。。
数位dp:http://blog.csdn.net/acdreamers/article/details/9318727
1 #include2 #include 3 usingnamespace std; 4 int 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5676,5508,5373,5316,5185,5117,5049,4969,4867,10641,10122,9680,9142,8727,8421,8097,7782,7521,7291,10126,9646,9266,8784,8398,8115,7800,7513,7271,7051,9673,9234,8903,8476,8106,7843,7562,7292,7012,6827,9227,8872,8578,8173,7839,7620,7349,7077,6817,6654,8850,8523,8285,7882,7594,7383,7118,6887,6620,6451,8511,8198,8017,7655,7374,7160,6909,6720,6429,6264,8177,7917,7760,7430,7143,6957,6723,6525,6255,6111,7896,7644,7537,7211,6963,6780,6542,6350,6111,5949,7624,7356,7275,7004,6763,6571,6371,6191,5964,5807,7366,7106,7040,6819,6582,6389,6223,6039,5803,5705,10087,9685,9175,8745,8371,8095,7776,7512,7291,7057,9636,9277,8801,8419,8030,7818,7526,7244,7032,6819,9232,8917,8480,8121,7792,7566,7303,7021,6832,6618,8875,8598,8185,7854,7536,7340,7098,6853,6606,6436,8529,8272,7917,7600,7298,7114,6890,6667,6408,6251,8215,8020,7665,7383,7101,6920,6703,6473,6241,6090,7936,7748,7450,7150,6934,6712,6514,6334,6075,5907,7663,7485,7248,6977,6735,6548,6352,6190,5911,5766,7401,7234,7015,6772,6551,6386,6186,5994,5798,5669,7166,7000,6795,6572,6396,6217,6027,5883,5697,5539,9661,9191,8769,8395,8044,7807,7512,7272,7072,6870,9247,8805,8441,8080,7752,7526,7253,7038,6831,6630,8914,8477,8131,7827,7483,7305,7048,6825,6601,6424,8600,8200,7862,7561,7250,7106,6861,6626,6424,6256,8299,7927,7605,7338,7047,6877,6667,6452,6247,6058,8048,7661,7385,7147,6861,6678,6493,6301,6029,5914,7757,7448,7179,6938,6665,6522,6334,6133,5883,5765,7522,7222,6981,6757,6546,6350,6156,5998,5749,5627,7290,6976,6774,6566,6366,6170,6013,5869,5612,5496,7049,6761,6600,6390,6189,6027,5890,5733,5514,5418,9140,8784,8420,8066,7767,7509,7274,7073,6864,6706,8768,8449,8102,7775,7475,7286,7026,6824,6632,6473,8475,8152,7829,7508,7242,7066,6821,6635,6438,6247,8197,7879,7580,7295,7010,6849,6640,6467,6233,6051,7938,7605,7367,7080,6804,6662,6465,6269,6046,5889,7698,7405,7145,6897,6638,6500,6287,6110,5890,5734,7469,7179,6927,6721,6494,6303,6144,5964,5721,5584,7249,6966,6769,6557,6337,6159,6008,5848,5580,5468,7016,6768,6572,6371,6171,6008,5856,5704,5489,5366,6814,6578,6369,6193,6046,5853,5713,5614,5404,5251,8726,8439,8078,7783,7491,7293,7060,6857,6723,6633,8386,8108,7786,7496,7237,7021,6818,6637,6481,6381,8114,7826,7541,7257,6992,6819,6623,6441,6238,6182,7848,7591,7321,7039,6779,6647,6428,6272,6088,6003,7611,7353,7099,6837,6594,646638,5476,5424,5351,5210,5129,5063,5919,5819,5680,5502,5359,5327,5227,5091,5022,4961,5820,5697,5564,5410,5277,5224,5127,5020,4968,4882,5711,5575,5457,5365,5163,5114,5030,4937,4858,4771,5557,5471,5360,5251,5068,5038,4963,4837,4771,4684,5462,5374,5245,5137,4978,4942,4837,4740,4693,4588,5356,5242,5140,5066,4907,4825,4731,4649,4583,4500,6448,6246,6080,5878,5843,5720,5596,5436,5360,5251,6271,6069,5906,5755,5691,5563,5482,5349,5238,5168,6068,5905,5767,5605,5530,5443,5370,5216,5139,5079,5917,5782,5621,5453,5427,5324,5242,5112,5054,4974,5801,5656,5502,5367,5316,5196,5150,5040,4934,4896,5658,5552,5426,5268,5194,5127,5042,4948,4894,5614,5,5512,5380,5276,5154,5027,4903,4856,4752,4651,4587,5356,5257,5185,5027,4940,4829,4732,4634,4567,4474,6482,6276,6068,5946,5789,5726,5535,544。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。8,4977,5879,5706,5528,5435,5322,5181,5089,5042,4984,4875,5724,5591,5433,5331,5189,5089,5022,4934,4874,4792,5607,5508,5350,5213,5103,5007,4929,4854,4784,4687,5490,5396,5217,5122,5005,4927,4818,4750,4685,4587,5399,5270,5126,5035,4940,4840,4735,4658,4555,4462,5260,5174,5050,4931,4813,4771,4636,4550,4494,4380,5172,5072,4946,4840,4724,4641,4543,4447,4376,4296,6094,5926,5784,5611,5584,5421,5328,5235,5139,5073,5960,5783,5642,5474,5456,5285,5211,5162,5047,4959,5827,5638,5507,5396,5325,5175,5114,5043,4957,4884,5692,5541,5404,5296,5224,5092,5035,4947,4872,4787,5583,5456,5304,5173,5156,5001,4911,4879,4794,4686,5491,5339,5210,5111,5043,4910,4855,4776,4683,4608,5353,5254,5111,4998,4951,4809,4743,4677,4565,4502,5249,5176,5017,4898,4861,4741,4632,4567,4498,4405,5191,5059,4922,4832,4771,4619,4564,4488,4383,4317,5055,4974,4857,4715,4646,4545,4440,4390,4304,4207,7896,7662,7512,7221,6927,6765,6570,6329,6128,5961,7641,7419,7264,7008,6759,6573,6383,6207,5955,5812,7377,7165,7051,6826,6571,6402,6243,6070,5809,5673,7122,6928,6836,6609,6382,6253,6079,5930,5684,5563,6893,6688,6608,6388,6220,6058,5905,5797,5572,5455,6671,6415,6389,6213,6027,5894,5760,5660,5438,5340,6457,6215,6167,6015,5855,5741,5629,5494,5356,5262,6279,6037,5995,5837,5722,5603,5487,5378,5242,5165,6109,5859,5817,5721,5602,5452,5367,5287,5140,5047,5929,5717,5700,5591,5465,5341,5271,5172,5041,4984,7672,7503,7215,6981,6695,6534,6341,6160,5938,5773,7410,7273,7003,6787,6524,6375,6194,6003,5789,5671,7174,7054,6794,6579,6373,6213,6049,5883,5680,5543,6951,6822,6589,6413,6218,6036,5902,5779,5543,5431,6705,6589,6391,6216,6029,5893,5782,5647,5431,5341,6470,6357,6182,6008,5867,5741,5619,5508,5344,5227,6292,6136,5989,5858,5742,5586,5498,5400,5218,5112,6106,5942,5829,5729,5593,5469,5389,5288,5134,5024,5905,5794,5700,5577,5467,5366,5267,5150,5048,4951,5786,5652,5539,5459,5388,5237,5154,5077,4973,4854,7500,7220,6976,6727,6481,6349,6136,5968,5792,5637,7284,6994,6775,6561,6312,6170,5981,5847,5655,5500,7065,6778,6602,6412,6170,6019,5890,5744,5503,5404,6838,6590,6408,6222,6001,5901,5761,5618,5432,5310,6621,6381,6187,6040,5883,5733,5606,5508,5339,5212,6407,6151,5997,5870,5730,5599,5491,5393,5192,5100,6206,5962,5848,5716,5573,5495,5379,5271,5113,5026,6028,5826,5687,5594,5494,5375,5248,5176,5036,4931,5865,5634,5562,5467,5372,5248,5162,5075,4935,4833,5702,5518,5461,5361,5243,5158,5080,4978,4854,4767,7222,6969,6768,6534,6290,6127,5965,5810,5615,5483,6993,6768,6582,6364,6120,5995,5830,5664,5496,5374,6808,6594,6392,6193,6002,5869,5709,5557,5417,5260,6627,6375,6225,6079,5850,5720,5613,5485,5293,5161,6413,6176,6036,5887,5705,5602,5495,5363,5194,5101,6226,5998,5848,5721,5582,5487,5366,5257,5102,4983,6056,5823,5704,5594,5470,5334,5262,5165,4993,4885,5890,5661,5582,5479,5361,5247,5173,5074,4921,4825,5736,5556,5438,5352,5274,5163,5040,4959,4832,4721,5598,5425,5329,5245,5183,5062,4961,4881,4756,4619,6946,6788,6541,6349,6104,5946,5794,5646,5494,5427,6771,6578,6359,6196,5970,5818,5663,5555,5361,5303,6579,6380,6223,6038,5820,5716,5562,5441,5259,5204,6396,6212,6042,5885,5706,5602,5452,5338,5185,5124,6239,6025,5867,5764,5599,5472,5353,5249,5087,5022,6053,5843,5715,5606,5445,5363,5250,5137,4971,4937,5886,5705,5590,5463,5323,5253,5161,5028,4891,4859,5759,5584,5453,5374,5260,5148,5034,4967,4811,4735,5611,5434,5342,5271,5158,5041,4978,4863,4716,4646,5476,5326,5248,5153,5056,4974,4871,4766,4615,4557,6737,6548,6365,6171,5919,5778,5648,5487,5403,5345,6544,6368,6183,6009,5788,5666,5517,5370,5294,5220,6383,6209,6020,5859,5688,5557,5411,5308,5201,5110,6217,6020,5892,5755,5566,5433,5326,5208,5107,5016,6044,5865,5757,5600,5440,5350,5240,5110,5020,4957,5889,572123,4,677,4600,4501,5276,5114,5023,4943,4811,4718,4662,4566,4471,4414,5163,5057,4949,4822,4737,4624,4548,4481,4401,4325,5085,4942,4860,4727,4644,4537,4456,4365,4294,4226,4999,4872,4757,4647,4567,4429,4387,4304,4190,4129}; 5 int f(int x) 6 { 7 if(x==0) 8 return0; 9 int sum=0; 10 while(x) 11 { 12 sum+=x%10; 13 x/=10; 14 } 15 return sum; 16 } 17 int main() 18 { 19 int num,i,j,t,a,b; 20 scanf("%d",&t); 21 int k=0; 22 while(t--) 23 { 24 scanf("%d%d",&a,&b); 25 int sum=0; 26 if(b-a>100000) 27 { 28 int x=(a+99999)/100000; 29 int y=b/100000; 30 for(i=x+1;i<=y;i++) 31 sum+=list[i]; 32 x=x*100000; 33 for(i=a;i<=x;i++) 34 { 35 if(i%f(i)==0) 36 sum++; 37 } 38 //if(a%100000==0&&a%f(a)==0) 39 // sum++; 40 y=y*100000; 41 for(i=y+1;i<=b;i++) 42 { 43 if(i%f(i)==0) 44 sum++; 45 } 46 //if(b%100000==0&&b%f(b)==0) 47 // sum--; 48 // 49 } 50 else 51 { 52 for(i=a;i<=b;i++) 53 if(i%f(i)==0) 54 sum++; 55 } 56 printf("Case %d: %d\n",++k,sum); 57 } 58 return0; 59 }