T1
一道水题~~
思路:暴力打表~~~~
1 #include <bits/stdc++.h> 2 using namespace std; 3 int ans[2510]; 4 int n,anss; 5 int main(){ 6 freopen("qwq.txt","w",stdout); 7 printf("dis[]={"); 8 for(register int n=1;n<=2500;n++){ 9 anss=0; 10 for(register int i=1;i<=n;i++) 11 for(register int j=i+1;j<=n;j++) 12 for(register int k=j+1;k<=n;k++){ 13 if(i+j<=k||i+k<=j||j+k<=i) continue; 14 if((i^j^k)==0) anss++; 15 } 16 printf("%d,",anss); 17 } 18 printf("};"); 19 return 0; 20 }
1 #include <bits/stdc++.h> 2 using namespace std; 3 int n; 4 int dis[2501]={0,0,0,0,0,0,1,1,1,1,2,2,5,7,10,10,10,10,11,11,14,16,19,19,26,32,39,43,52,58,65,65,65,65,66,66,69,71,74,74,81,87,94,98,107,113,120,120,135,149,164,176,193,207,222,230,251,269,288,300,321,335,350,350,350,350,351,351,354,356,359,359,366,372,379,383,392,398,405,405,420,434,449,461,478,492,507,515,536,554,573,585,606,620,635,635,666,696,727,755,788,818,849,873,910,944,979,1007,1044,1074,1105,1121,1166,1208,1251,1287,1332,1370,1409,1433,1482,1524,1567,1595,1640,1670,1701,1701,1701,1701,1702,1702,1705,1707,1710,1710,1717,1723,1730,1734,1743,1749,1756,1756,1771,1785,1800,1812,1829,1843,1858,1866,1887,1905,1924,1936,1957,1971,1986,1986,2017,2047,2078,2106,2139,2169,2200,2224,2261,2295,2330,2358,2395,2425,2456,2472,2517,2559,2602,2638,2683,2721,2760,2784,2833,2875,2918,2946,2991,3021,3052,3052,3115,3177,3240,3300,3365,3427,3490,3546,3615,3681,3748,3808,3877,3939,4002,4050,4127,4201,4276,4344,4421,4491,4562,4618,4699,4773,4848,4908,4985,5047,5110,5142,5235,5325,5416,5500,5593,5679,5766,5838,5935,6025,6116,6192,6285,6363,6442,6490,6595,6693,6792,6876,6977,7063,7150,7206,7311,7401,7492,7552,7645,7707,7770,7770,7770,7770,7771,7771,7774,7776,7779,7779,7786,7792,7799,7803,7812,7818,7825,7825,7840,7854,7869,7881,7898,7912,7927,7935,7956,7974,7993,8005,8026,8040,8055,8055,8086,8116,8147,8175,8208,8238,8269,8293,8330,8364,8399,8427,8464,8494,8525,8541,8586,8628,8671,8707,8752,8790,8829,8853,8902,8944,8987,9015,9060,9090,9121,9121,9184,9246,9309,9369,9434,9496,9559,9615,9684,9750,9817,9877,9946,10008,10071,10119,10196,10270,10345,10413,10490,10560,10631,10687,10768,10842,10917,10977,11054,11116,11179,11211,11304,11394,11485,11569,11662,11748,11835,11907,12004,12094,12185,12261,12354,12432,12511,12559,12664,12762,12861,12945,13046,13132,13219,13275,13380,13470,13561,13621,13714,13776,13839,13839,13966,14092,14219,14343,14472,14598,14725,14845,14978,15108,15239,15363,15496,15622,15749,15861,16002,16140,16279,16411,16552,16686,16821,16941,17086,17224,17363,17487,17628,17754,17881,17977,18134,18288,18443,18591,18748,18898,19049,19185,19346,19500,19655,19795,19952,20094,20237,20349,20518,20680,20843,20991,21156,21306,21457,21577,21746,21900,22055,22179,22336,22462,22589,22653,22842,23028,23215,23395,23584,23766,23949,24117,24310,24496,24683,24855,25044,25218,25393,25537,25738,25932,26127,26307,26504,26686,26869,27021,27222,27408,27595,27751,27940,28098,28257,28353,28570,28780,28991,29187,29400,29598,29797,29965,30182,30384,30587,30759,30964,31138,31313,31425,31650,31860,32071,32251,32464,32646,32829,32949,33166,33352,33539,33663,33852,33978,34105,34105,34105,34105,34106,34106,34109,34111,34114,34114,34121,34127,34134,34138,34147,34153,34160,34160,34175,34189,34204,34216,34233,34247,34262,34270,34291,34309,34328,34340,34361,34375,34390,34390,34421,34451,34482,34510,34543,34573,34604,34628,34665,34699,34734,34762,34799,34829,34860,34876,34921,34963,35006,35042,35087,35125,35164,35188,35237,35279,35322,35350,35395,35425,35456,35456,35519,35581,35644,35704,35769,35831,35894,35950,36019,36085,36152,36212,36281,36343,36406,36454,36531,36605,36680,36748,36825,36895,36966,37022,37103,37177,37252,37312,37389,37451,37514,37546,37639,37729,37820,37904,37997,38083,38170,38242,38339,38429,38520,38596,38689,38767,38846,38894,38999,39097,39196,39280,39381,39467,39554,39610,39715,39805,39896,39956,40049,40111,40174,40174,40301,40427,40554,40678,40807,40933,41060,41180,41313,41443,41574,41698,41831,41957,42084,42196,42337,42475,42614,42746,42887,43021,43156,43276,43421,43559,43698,43822,43963,44089,44216,44312,44469,44623,44778,44926,45083,45233,45384,45520,45681,45835,45990,46130,46287,46429,46572,46684,46853,47015,47178,47326,47491,47641,47792,47912,48081,48235,48390,48514,48671,48797,48924,48988,49177,49363,49550,49730,49919,50101,50284,50452,50645,50831,51018,51190,51379,51553,51728,51872,52073,52267,52462,52642,52839,53021,53204,53356,53557,53743,53930,54086,54275,54433,54592,54688,54905,55115,55326,55522,55735,55933,56132,56300,56517,56719,56922,57094,57299,57473,57648,57760,57985,58195,58406,58586,58799,58981,59164,59284,59501,59687,59874,59998,60187,60313,60440,60440,60695,60949,61204,61456,61713,61967,62222,62470,62731,62989,63248,63500,63761,64015,64270,64510,64779,65045,65312,65572,65841,66103,66366,66614,66887,67153,67420,67672,67941,68195,68450,68674,68959,69241,69524,69800,70085,70363,70642,70906,71195,71477,71760,72028,72313,72583,72854,73094,73391,73681,73972,74248,74541,74819,75098,75346,75643,75925,76208,76460,76745,76999,77254,77446,77763,78077,78392,78700,79017,79327,79638,79934,80255,80569,80884,81184,81501,81803,82106,82378,82707,83029,83352,83660,83985,84295,84606,84886,85215,85529,85844,86128,86445,86731,87018,87242,87587,87925,88264,88588,88929,89255,89582,89878,90223,90553,90884,91184,91517,91819,92122,92362,92715,93053,93392,93700,94041,94351,94662,94910,95255,95569,95884,96136,96453,96707,96962,97090,97471,97849,98228,98600,98981,99355,99730,100090,100475,100853,101232,101596,101977,102343,102710,103046,103439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759,648038,648302,648591,648873,649156,649424,649709,649979,650250,650490,650787,651077,651368,651644,651937,652215,652494,652742,653039,653321,653604,653856,654141,654395,654650,654842,655159,655473,655788,656096,656413,656723,657034,657330,657651,657965,658280,658580,658897,659199,659502,659774,660103,660425,660748,661056,661381,661691,662002,662282,662611,662925,663240,663524,663841,664127,664414,664638,664983,665321,665660,665984,666325,666651,666978,667274,667619,667949,668280,668580,668913,669215,669518,669758,670111,670449,670788,671096,671437,671747,672058,672306,672651,672965,673280,673532,673849,674103,674358,674486,674867,675245,675624,675996,676377,676751,677126,677486,677871,678249,678628,678992,679373,679739,680106,680442,680835,681221,681608,681980,682369,682743,683118,683462,683855,684233,684612,684960,685341,685691,686042,686330,686739,687141,687544,687932,688337,688727,689118,689478,689887,690281,690676,691040,691437,691803,692170,692474,692891,693293,693696,694068,694473,694847,695222,695534,695943,696321,696700,697016,697397,697715,698034,698226,698667,699101,699536,699956,700393}; 5 int main(){ 6 scanf("%d",&n); 7 printf("%d",dis[n]); 8 return 0; 9 }
T2
本题两种思路,一种奆佬思路"组合数"
一种蒟蒻思路"dp"
本蒟蒻显然是只会第二种
思路:根据乘法原理,三个蜂窝每两个之间可连接的数量相乘
即可,求这个用dp来求
dp[i][j]=dp[i-1][j]+dp[i-1][j-1]*j;
其中i代表第i个a蜂巢中要连接的点,j代表b中要有几个点与之相连
预处理时的思想是当i==0||j==0时,显然就是什么都不连的情况,全部置
为1,然后跑完dp中间取模即可
1 #include <bits/stdc++.h> 2 using namespace std; 3 const long long mod=998244353; 4 unsigned long long a,b,c,ak,ac,ans1,ans2,ans3,ans; 5 long long f[3010][3010]; 6 inline long long ksc(long long a,long long b,long long p){//快速乘，计算a*b%p 7 long long ret=0; 8 while(b){ 9 if(b&1) ret=(ret+a)%p; 10 a=(a+a)%p; 11 b>>=1; 12 } 13 return ret; 14 } 15 int main(){ 16 scanf("%d%d%d",&a,&b,&c); 17 int d=max(a,max(b,c)); 18 for(register int i=0;i<=d;i++) f[i][0]=f[0][i]=1; 19 for(register int i=1;i<=d;i++) 20 for(register int j=1;j<=d;j++) f[i][j]=(f[i-1][j]+f[i-1][j-1]*j)%mod; 21 ans1=f[a][b]; 22 ans2=f[b][c]; 23 ans3=f[a][c]; 24 ans=ksc(ans3,ksc(ans1,ans2,mod),mod); 25 printf("%lld",ans); 26 return 0; 27 }
T3
较难
思路,首先以可以走的路建图,两个点可以建图的条件是
两点都亮灯,两点的横坐标或是纵坐标差值<=2,如果两个点连在一起
那就直接连一条边权为0的路径即可,本题急需注意的一点,火车站持续
亮灯,宾馆门只有手动输入才会亮灯,建图时如果没有(n,m)点最后要
手动往里加入终点建完了图后,跑一边dijstra+heap或者SPFA找到
(1,1)到(n,m)的最短路即可
1 #include <bits/stdc++.h> 2 using namespace std; 3 priority_queue<pair<int,int>,vector<pair<int,int> >,greater<pair<int,int> > >q; 4 int n,m,num,s; 5 int he[500010],d[500010],inq[500010]; 6 void read(int &x){ 7 int f=1;x=0;char s=getchar(); 8 while(s>'9'||s<'0'){if(s=='-')f=-1;s=getchar();} 9 while(s<='9'&&s>='0'){x=x*10+s-'0';s=getchar();} 10 x=f*x; 11 } 12 struct zkc{ 13 int x,y; 14 }cxk[500010]; 15 ;struct node{ 16 int nxt; 17 int to; 18 int dis; 19 }edg[500020]; 20 void add(int a,int b,int c){ 21 edg[++num].to=b; 22 edg[num].dis=c; 23 edg[num].nxt=he[a]; 24 he[a]=num; 25 } 26 void dst(int s){ 27 memset(d,0x7f,sizeof(d)); 28 memset(inq,0,sizeof(inq)); 29 q.push(make_pair(0,s)); 30 d[s]=0; 31 while(!q.empty()){ 32 int x=q.top().second; 33 q.pop(); 34 if(inq[x]) continue; 35 inq[x]=1; 36 int t=he[x]; 37 while(t){ 38 if(d[edg[t].to]>d[x]+edg[t].dis&&!inq[edg[t].to]){ 39 d[edg[t].to]=d[x]+edg[t].dis; 40 q.push(make_pair(d[edg[t].to],edg[t].to)); 41 } 42 t=edg[t].nxt; 43 } 44 } 45 } 46 int main(){ 47 int xx,yy; 48 bool ac=false; 49 read(n);read(m);read(s); 50 for(int i=1;i<=s;i++){ 51 read(cxk[i].x);read(cxk[i].y); 52 if(cxk[i].x==n&&cxk[i].y==m) ac=1; 53 } 54 if(!ac){ 55 s++; 56 cxk[s].x=n; 57 cxk[s].y=m; 58 } 59 for(register int i=1;i<s;i++){ 60 for(register int j=i+1;j<=s;j++){ 61 if((abs(cxk[i].x-cxk[j].x)==0)&&abs(cxk[i].y-cxk[j].y)==1||abs(cxk[i].x-cxk[j].x)==1&&abs(cxk[i].y-cxk[j].y)==0){ 62 if(!ac&&j==s) add(i,j,1),add(j,i,1); 63 else add(i,j,0),add(j,i,0); 64 } 65 else if(abs(cxk[i].x-cxk[j].x)<=1||abs(cxk[i].y-cxk[j].y)<=1) add(i,j,1),add(j,i,1); 66 else if(abs(cxk[i].x-cxk[j].x)==2||abs(cxk[i].y-cxk[j].y)==2){ 67 if(!ac&&j==s) continue; 68 add(i,j,1),add(j,i,1); 69 } 70 } 71 } 72 dst(1); 73 if(d[s]==2139062143){printf("-1");return 0;} 74 printf("%d",d[s]); 75 return 0; 76 }
end;