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47ms的代妈

Posted by KatrineYang at 2016-08-28 03:49:23 on Problem 1165
RT
#include <iostream>
#include <stdio.h>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
int primes[1229] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,9967,9973};

bool isPrime(int n){
	for(int i = 1; i < 1229; i++){
		if(n%primes[i]==0) return 0;
		if(primes[i]*primes[i] > n) return 1;
	}
	return 1;
}

inline bool inRange(int n){
	return n>= 0 && n<= 9;
}

bool is_prime[10][10][10][10][10] = {0};

struct solution{
	int *data;
	solution(){}
	solution(int ans[5][5]){
		data = new int[25];
		for(int i = 0; i < 5; i++)
			for(int j = 0; j < 5; j++)
				data[i*5+j] = ans[i][j];
	}
};

bool compare(const solution &s1, const solution &s2){
	for(int i = 0; i < 25; i++){
		if(s1.data[i] < s2.data[i]) return 1;
		if(s1.data[i] > s2.data[i]) return 0;
	}
	return 0;
}

vector<solution> solutions;

int PrimeNo = 0;
int PrimeStr[1662][5] = {0};
int PrimeStart[11];
int JStart[11];
int NZStart[11];

int JNo = 0, NZNo = 0;

int JStr[1000][5] = {0};
int NZStr[1000][5] = {0};

void init(int s){
	int firstDigit = 0;
	int JDigit = 0, NZDigit = 0;
	for(int i = 10003; i <= 99997; i+=2){
		int digits[5];
		int Sum = 0;
		int I = i;
		bool isJ = 1, isNZ = 1;
		for(int j = 4; j >= 0; j--){
			digits[j] = I%10;
			if(digits[j]%2==0 || digits[j]%5==0) isJ = 0;
			if(digits[j] == 0) isNZ = 0;
			I/=10;
			Sum += digits[j];
		}
		if(Sum != s || !isPrime(i)) continue;

		is_prime[digits[0]][digits[1]][digits[2]][digits[3]][digits[4]] = 1;


			for(int j = 0; j < 5; j++) PrimeStr[PrimeNo][j] = digits[j];
			if(firstDigit != digits[0]){
				for(int k = firstDigit+1; k <= digits[0]; k++) PrimeStart[k] = PrimeNo;
				firstDigit = digits[0];
			}
			PrimeNo++;
			if(isJ){
				for(int j = 0; j < 5; j++) JStr[JNo][j] = digits[j];
				if(JDigit != digits[0]){
					for(int k = JDigit+1; k <= digits[0]; k++) JStart[k] = JNo;
					JDigit = digits[0];
				}
				JNo++;
			}
			if(isNZ){
				for(int j = 0; j < 5; j++) NZStr[NZNo][j] = digits[j];
				if(NZDigit != digits[0]){
					for(int k = NZDigit+1; k <= digits[0]; k++) NZStart[k] = NZNo;
					NZDigit = digits[0];
				}
				NZNo++;
			}

	}
	for(int k = firstDigit+1; k <= 10; k++) PrimeStart[k] = PrimeNo;
	for(int k = JDigit+1; k <= 10; k++) JStart[k] = JNo;
	for(int k = NZDigit+1; k <= 10; k++) NZStart[k] = NZNo;
}


int main() {
	int sum, BegDigit;
	scanf("%d%d", &sum, &BegDigit);
	if(sum <= BegDigit || sum%3 == 0) return 0;
	init(sum);
	int ans[5][5];
	ans[0][0] = BegDigit;
	for(int i = NZStart[BegDigit]; i < NZStart[BegDigit+1]; i++){
		for(int j = 1; j < 5; j++) ans[0][j] = NZStr[i][j];
		for(int j = JStart[ans[0][4]]; j < JStart[ans[0][4]+1]; j++){
			for(int k = 1; k < 5; k++) ans[k][4] = JStr[j][k];
			for(int k = NZStart[BegDigit]; k < NZStart[BegDigit+1]; k++){
				for(int l = 1; l < 5; l++) ans[l][0] = NZStr[k][l];
				for(int l = JStart[ans[4][0]]; l < JStart[ans[4][0]+1]; l++){
					if(JStr[l][4] != ans[4][4]) continue;
					for(int m = 1; m < 4; m++) ans[4][m] = JStr[l][m];
					for(int m = PrimeStart[BegDigit]; m < PrimeStart[BegDigit+1]; m++){
						if(PrimeStr[m][4] != ans[4][4]) continue;
						for(int n = 1; n < 4; n++) ans[n][n] = PrimeStr[m][n];
						int diagSum = sum - ans[4][0] - ans[2][2] - ans[0][4];
						for(ans[3][1] = 0; ans[3][1] <= diagSum && ans[3][1] < 10; ans[3][1]++){
							ans[1][3] = diagSum - ans[3][1];
							if(ans[1][3] < 0 || ans[1][3] > 9) continue;
							if(!is_prime[ans[4][0]][ans[3][1]][ans[2][2]][ans[1][3]][ans[0][4]]){
								continue;
							}
							ans[1][2] = sum - ans[1][0] - ans[1][1] - ans[1][3] - ans[1][4];
							if(!inRange(ans[1][2])) continue;
							ans[2][1] = sum - ans[0][1] - ans[1][1] - ans[3][1] - ans[4][1];
							if(!inRange(ans[2][1])) continue;
							ans[2][3] = sum - ans[0][3] - ans[1][3] - ans[3][3] - ans[4][3];
							if(!inRange(ans[2][3])) continue;
							ans[3][2] = sum - ans[3][0] - ans[3][1] - ans[3][3] - ans[3][4];
							if(!inRange(ans[3][2])) continue;
							if(!is_prime[ans[1][0]][ans[1][1]][ans[1][2]][ans[1][3]][ans[1][4]]) continue;
							if(!is_prime[ans[2][0]][ans[2][1]][ans[2][2]][ans[2][3]][ans[2][4]]) continue;
							if(!is_prime[ans[3][0]][ans[3][1]][ans[3][2]][ans[3][3]][ans[3][4]]) continue;
							if(!is_prime[ans[0][1]][ans[1][1]][ans[2][1]][ans[3][1]][ans[4][1]]) continue;
							if(!is_prime[ans[0][2]][ans[1][2]][ans[2][2]][ans[3][2]][ans[4][2]]) continue;
							if(!is_prime[ans[0][3]][ans[1][3]][ans[2][3]][ans[3][3]][ans[4][3]]) continue;
							solutions.push_back(solution(ans));
						}
					}
				}
			}
		}
	}
	sort(solutions.begin(), solutions.end(), compare);
	int sz = solutions.size();
	for(int i = 0; i < sz; i++){
		int offset = 0;
		for(int j = 0; j < 5; j++){
			for(int k = 0; k < 5; k++){
				printf("%d", solutions[i].data[offset]);
				offset++;
			}
			printf("\n");
		}
		printf("\n");
	}
	return 0;
}

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