[USACO2.3] 奶牛家谱 Cow Pedigrees题解

题目描述

一个有 n 个节点，深度为 k 的无标号完满二叉树（即每个节点的儿子数为 0 或 2）有多少种结构？定义根节点深度为 1。

答案对 9901 取模。

输入格式

两个空格分开的整数 n,k。

输出格式

输出一行一个整数表示答案。

输入输出样例

输入 #1复制

5 3

输出 #1复制

2

说明/提示

【数据范围】
对于 100% 的数据，3≤n<200，2≤k<100。

USACO 2.3

思路

预处理数据，直接输出。

代码见下

#include<bits/stdc++.h>
using namespace std;
int p[210][110]={{0},{0,1},{0},{0,0,1},{0},{0,0,0,2},{0},{0,0,0,1,4},{0},{0,0,0,0,6,8},{0},{0,0,0,0,6,20,16},{0},{0,0,0,0,4,40,56,32},{0},{0,0,0,0,1,68,152,144,64},{0},{0,0,0,0,0,94,376,480,352,128},{0},{0,0,0,0,0,114,844,1440,1376,832,256},{0},{0,0,0,0,0,116,1744,4056,4736,3712,1920,512},{0},{0,0,0,0,0,94,3340,955,5347,4371,9600,4352,1024},{0},{0,0,0,0,0,60,5976,7870,7500,1279,972,4262,9728,2048},{0},{0,0,0,0,0,28,139,8210,2026,4323,8349,1681,9375,1702,4096},{0},{0,0,0,0,0,8,5955,768,1419,4475,846,4202,4711,2698,7500,8192},{0},{0,0,0,0,0,1,3658,5844,44,7048,6711,5423,7462,8017,7091,3390,6483},{0},{0,0,0,0,0,0,2695,6536,3597,4607,4914,1438,5735,9580,9114,5962,3362,3065},{0},{0,0,0,0,0,0,2054,5024,5076,5100,6181,6900,4045,2338,1538,4360,1967,9789,6130},{0},{0,0,0,0,0,0,195,4706,4907,4246,5332,9601,4379,960,5542,1732,7213,6887,5906,2359},{0},{0,0,0,0,0,0,5241,4944,2806,7840,9274,5571,2074,5348,3081,2322,2278,7529,6008,4270,4718},{0},{0,0,0,0,0,0,5803,7888,4081,3288,3937,9264,4092,5702,3108,4626,6829,4370,9529,8744,3357,9436},{0},{0,0,0,0,0,0,1283,8282,2939,3087,6846,8617,5787,3756,1045,8985,5538,2473,7333,7087,5761,6249,8971},{0},{0,0,0,0,0,0,2340,4274,6233,7938,1086,2855,6692,9220,5193,5263,6346,6455,659,1327,3025,7405,1667,8041},{0},{0,0,0,0,0,0,1079,3330,4870,9532,137,1172,9842,6403,3980,783,596,9843,4203,2388,2140,8873,5646,1474,6181},{0},{0,0,0,0,0,0,9887,3852,8390,6204,1438,389,1906,9527,8073,435,4752,6372,459,1150,5290,1028,3397,1005,9129,2461},{0},{0,0,0,0,0,0,1047,8067,333,8696,1011,923,2779,9786,12,3981,5373,9006,8905,2223,2610,620,9783,5553,7419,917,4922},{0},{0,0,0,0,0,0,5096,1719,2342,8880,158,5722,379,8613,8913,8043,6137,6251,911,5402,4887,882,1225,9871,412,8315,6756,9844},{0},{0,0,0,0,0,0,1932,8293,5772,5628,3725,5488,3714,939,5236,9261,2615,2761,776,6251,8858,6009,2371,1214,7429,5077,8506,3554,9787},{0},{0,0,0,0,0,0,568,5876,2412,8246,9086,3437,8418,2635,2562,4434,6244,5147,9735,8426,3847,2492,9156,4177,8771,2785,5557,707,6994,9673},{0},{0,0,0,0,0,0,120,1346,3485,8727,3432,8953,6434,3842,7269,5181,1344,4526,3878,6970,4703,5405,5323,678,4336,1865,8250,5360,8294,3859,9445},{0},{0,0,0,0,0,0,16,81,3100,2437,7097,6549,3588,324,6782,2931,9716,2225,8975,9747,3982,9787,762,9607,7823,3033,8524,9588,5978,417,7262,8989},{0},{0,0,0,0,0,0,1,955,6085,8085,4922,6589,7602,1007,5621,8696,9332,8765,7457,6014,5831,2377,8628,7811,2673,6522,1554,877,7262,5875,7640,3711,8077},{0},{0,0,0,0,0,0,0,3031,7409,8112,4761,6480,7801,3266,9690,7931,8329,1493,7605,9853,9680,5205,6888,4268,3727,5913,1134,5883,5550,7592,5938,8178,5598,6253},{0},{0,0,0,0,0,0,0,2574,6849,1269,7281,4584,1038,5744,4663,2208,8989,572,8605,7590,4562,9316,9615,8311,8872,672,6238,8626,2815,1900,1402,2139,328,7548,2605},{0},{0,0,0,0,0,0,0,2706,6761,7062,2312,3155,7031,5685,4036,1151,7801,4159,4198,8184,1750,2843,7240,6919,5081,6621,7457,2325,9401,4100,6841,6082,6556,4556,7800,5210},{0},{0,0,0,0,0,0,0,6230,1790,9601,8638,2491,7014,7524,9486,1748,5764,149,2228,2917,4153,5273,3546,5621,2084,6195,1967,7153,4280,9161,520,4442,1322,8019,9616,1008,519},{0},{0,0,0,0,0,0,0,2498,9616,1299,1113,9086,4682,1843,1836,5164,7548,2010,610,4427,8765,5862,5013,8736,3288,3894,9353,3827,9687,663,4008,1075,70,2174,8961,5648,2535,1038},{0},{0,0,0,0,0,0,0,909,2587,9477,2700,6544,5565,7127,4453,8557,2456,1274,2509,9416,626,4384,3411,3176,6102,6963,774,5774,3839,2271,5398,8144,256,6113,2045,5295,4449,6108,2076},{0},{0,0,0,0,0,0,0,7794,9608,5768,4676,6360,6111,4587,2775,1805,2471,6352,1120,4800,2487,4678,6852,6069,8395,4086,3566,8983,4969,6644,7833,6582,1473,73,9023,3495,8711,6143,4391,4152},{0},{0,0,0,0,0,0,0,7705,1425,3142,4958,6886,9794,3833,7606,5644,7542,7753,5415,3614,7068,7646,9496,280,2855,1236,8496,648,6834,7439,4903,3032,4435,2344,8697,7201,8013,2046,8852,3033,8304},{0},{0,0,0,0,0,0,0,9432,2035,6285,1050,7016,3542,220,9499,9447,3397,2490,9743,5191,7521,7835,6560,2338,6296,1571,1623,8203,2224,1856,6079,2204,4598,6969,6099,2822,559,2017,1685,5087,4469,6707},{0},{0,0,0,0,0,0,0,9459,3816,6656,9400,8469,7947,794,3769,1176,6971,5007,6414,2772,4081,2901,9628,4524,2610,5769,6156,6028,5564,8019,7142,6860,9206,9596,800,3427,2260,3133,4030,9893,3145,5744,3513},{0},{0,0,0,0,0,0,0,5468,1316,2040,2058,2312,5129,640,8532,3000,2023,3603,8984,1758,9262,1144,1335,1920,4932,1669,2799,2324,9727,5243,8032,3790,8715,9792,2562,6344,9488,5268,1496,361,4404,8840,5100,7026},{0},{0,0,0,0,0,0,0,9812,8455,9182,5976,5452,2865,5157,303,9299,5100,6725,9873,7619,6011,760,1705,4473,731,3683,7440,8204,5212,1128,2952,4734,7043,8827,2596,5628,1008,6343,4437,7604,9224,7103,6491,7325,4151},{0},{0,0,0,0,0,0,0,9175,6162,6831,1702,1587,4168,6019,6057,9861,7480,6963,8490,5046,2939,8216,1587,8055,7352,6713,601,6272,2586,2059,3072,1632,1357,3580,8691,1876,3269,3828,3624,1678,5410,206,3120,7531,8900,8302},{0},{0,0,0,0,0,0,0,2466,1185,7336,195,9267,393,9776,7237,3506,4350,878,967,9514,4135,6706,142,4957,9470,4923,240,3331,4258,3230,6017,3798,5209,3890,2352,285,5410,3316,3457,1503,8312,11,8085,5445,8311,6300,6703},{0},{0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long long n,m;
int main(){
	cin>>n>>m;
	if(n%2==0){
		cout<<0<<endl;
		return 0;
	}
	cout<<p[n][m];
	return 0;
}