标签：over lin == 解析 dex get ret 取值 基础
最近考了几次试，做完之后发现自己还是缺乏思维精度和深度……在此把一些奇怪的思路记下来……
题意大概就是拿了一堆数取来取去，这些数在一个模数意义下做乘法，求出操作后取值的期望。
首先，找到这个模数的原根（鬼知道为什么现在出来了），然后就把这些乘法变成加法，然后就是矩阵一通乱搞……
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 using namespace std; 6 const int maxn=1005,MOD=(int)1e9+7; 7 long long qpow(long long x,int tim,int Module) 8 { 9 long long tmp=1; 10 for(;tim;tim>>=1,x=x*x%Module) 11 if(tim&1)tmp=tmp*x%Module; 12 return tmp; 13 } 14 int getroot(int x) 15 { 16 for(int i=1;i<=x;i++) 17 { 18 int val=1;bool yes=1; 19 for(int j=1;j<x-1;j++) 20 { 21 val=val*1ll*i%x; 22 if(val==1) 23 { 24 yes=0; 25 break; 26 } 27 } 28 if(yes)return i; 29 } 30 } 31 int n,m,mod,powe[maxn],III[maxn],cnt[maxn],Probablities[33][maxn],f[2][maxn]; 32 void moduleadd(int &a,int b) 33 { 34 a+=b;if(a>MOD)a-=MOD; 35 } 36 int haha() 37 { 38 scanf("%d%d%d",&n,&m,&mod); 39 int rt=getroot(mod);powe[0]=1; 40 for(int i=1;i<=mod;i++)powe[i]=powe[i-1]*1ll*rt%mod; 41 int mod2=mod-1; 42 for(int i=0;i<mod2;i++)III[powe[i]]=i; 43 for(int i=1;i<=n;i++) 44 { 45 int x;scanf("%d",&x); 46 cnt[III[x]]++; 47 } 48 int Inv=qpow(n,MOD-2,MOD); 49 for(int i=0;i<mod2;i++)Probablities[0][i]=Inv*1ll*cnt[i]%MOD; 50 for(int i=1;i<=32;i++) 51 for(int j=0;j<mod2;j++) 52 for(int k=0;k<mod2;k++)moduleadd(Probablities[i][(j+k)%mod2],Probablities[i-1][j]*1ll*Probablities[i-1][k]%MOD); 53 f[0][0]=1; 54 for(int i=0;m;m>>=1,i++) 55 if(m&1) 56 { 57 for(int j=0;j<mod2;j++)f[1][j]=0; 58 for(int j=0;j<mod2;j++) 59 for(int k=0;k<mod2;k++)moduleadd(f[1][(k+j)%mod2],f[0][j]*1ll*Probablities[i][k]%MOD); 60 for(int j=0;j<mod2;j++)f[0][j]=f[1][j]; 61 } 62 int ans=0; 63 for(int i=0;i<mod2;i++)moduleadd(ans,f[0][i]*1ll*powe[i]%MOD); 64 printf("%d\n",ans); 65 } 66 int sb=haha(); 67 int main(){;}
给出一大堆限制条件，问有多少种走回原点方法。
就是个分类讨论卡特兰数……（然而并没看出来）但是有种情况诡异的很……就是为2的时候……那个递推只能用恶心人来形容……
1 #include<iostream> 2 #include<cstring> 3 #include<cstdio> 4 using namespace std; 5 const int maxn=100005,mod=(int)1e9+7; 6 long long C[maxn]={1}; 7 long long qpow(long long x,int tim) 8 { 9 long long tmp=1; 10 for(;tim;tim>>=1,x=x*x%mod) 11 if(tim&1)tmp=tmp*x%mod; 12 return tmp; 13 } 14 long long f[maxn]={1}; 15 int haha() 16 { 17 int n,typ;scanf("%d%d",&n,&typ);long long ans=0,c=1; 18 for(int i=1;i<=n;i++)C[i]=C[i-1]*(4*(i+1)-6)%mod*qpow(i+1,mod-2)%mod; 19 switch(typ) 20 { 21 case 1:printf("%lld\n",C[n>>1]);break; 22 case 0:for(int i=0;i<=n;i+=2) 23 { 24 ans+=c*C[i>>1]%mod*((i>>1)+1)%mod*C[(n-i)>>1]%mod*((n-i>>1)+1)%mod; 25 ans%=mod; 26 c=c*(n-i)%mod*(n-i-1)%mod*qpow(i+1,mod-2)%mod*qpow(i+2,mod-2)%mod; 27 } 28 printf("%lld\n",ans);break; 29 case 3:for(int i=0;i<=n;i+=2) 30 { 31 ans+=c*C[i>>1]%mod*C[(n-i)>>1]%mod; 32 ans%=mod; 33 c=c*(n-i)%mod*(n-i-1)%mod*qpow(i+1,mod-2)%mod*qpow(i+2,mod-2)%mod; 34 } 35 printf("%lld\n",ans);break; 36 case 2:for(int i=2;i<=n;i+=2) 37 for(int j=0;j<=i;j+=2)f[i]=(f[i]+4*f[i-j]*C[(j>>1)-1])%mod; 38 printf("%lld\n",f[n]);break; 39 } 40 } 41 int sb=haha(); 42 int main(){;}
找出一个序列使得前后项互为倍数，而且这个序列支付另一个序列花费硬币数最少。
马丹秦九韶都不会写给跪了……
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 using namespace std; 6 const int prime[]={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,827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7 const int maxn=55; 8 int n,a[55][maxn],A[maxn],cnt; 9 int dfs(int dep) 10 { 11 if(A[n]<=1) 12 { 13 int ans=0; 14 for(int i=n;i&&A[i];i--)ans+=A[i]; 15 return ans; 16 } 17 int res=0x7fffffff; 18 memcpy(a[dep],A,sizeof(A)); 19 for(int i=0;prime[i]<=a[dep][n]&&i<=9591;i++) 20 { 21 int tmp=0; 22 for(int j=1;j<=n;j++)tmp+=A[j]%prime[i],A[j]/=prime[i]; 23 if(tmp<res)res=min(res,dfs(dep+1)+tmp); 24 memcpy(A,a[dep],sizeof(A)); 25 } 26 return res; 27 } 28 int haha() 29 { 30 scanf("%d",&n); 31 if(n==1) 32 { 33 cout<<1; 34 return 0; 35 } 36 for(int i=1;i<=n;i++)scanf("%d",&A[i]); 37 sort(A+1,A+n+1); 38 printf("%d\n",dfs(0)); 39 } 40 int sb=haha(); 41 int main(){;}
给出建边顺序和连通后点合并顺序，问最后合并得到的最大权值。
这个思路只对于我来说是个新思路：重构树。把这个点往上一推，跟另一个点直接合并，然后根据$LCA$层数为第一关键字反应顺序第二关键字进行排序处理。
1 #include<iostream> 2 #include<cstdio> 3 #include<algorithm> 4 #include<cstring> 5 using namespace std; 6 const int maxn=500010; 7 struct node 8 { 9 int from,to,next; 10 }edge[maxn<<1]; 11 int head[maxn],tot=0,cnt=0; 12 void addedge(int u,int v) 13 { 14 edge[++tot]=(node){u,v,head[u]};head[u]=tot; 15 } 16 int dep[maxn],rt[maxn][25],tim,dfn[maxn]; 17 void dfs(int root,int fa,int deep,int timm) 18 { 19 rt[root][0]=fa;dep[root]=deep;dfn[root]=timm; 20 for(int i=1;i<=20;i++) 21 if((1<<i)<dep[root])rt[root][i]=rt[rt[root][i-1]][i-1]; 22 else break; 23 for(int i=head[root];i;i=edge[i].next) 24 { 25 int v=edge[i].to; 26 if(!rt[v][0])dfs(v,root,deep+1,timm); 27 } 28 } 29 int n,m,k; 30 int lca(int x,int y) 31 { 32 int i; 33 if(dep[x]<dep[y])swap(x,y); 34 for(i=0;(1<<i)<=dep[x];i++);i--; 35 for(int j=i;j>=0;j--) 36 if(dep[x]-(1<<j)>=dep[y])x=rt[x][j]; 37 if(x==y)return x; 38 for(int j=i;j>=0;j--) 39 if(rt[x][j]!=-1&&rt[x][j]!=rt[y][j])x=rt[x][j],y=rt[y][j]; 40 return rt[x][0]; 41 } 42 struct ques 43 { 44 int x,y,dep,id; 45 bool operator <(const ques &b)const 46 { 47 if(dep!=b.dep)return dep>b.dep; 48 return id<b.id; 49 } 50 }question[maxn]; 51 int g[maxn],id[maxn]; 52 int haha() 53 { 54 scanf("%d%d%d",&n,&m,&k); 55 for(int i=1;i<=n;i++)id[i]=i,scanf("%d",&g[i]); 56 for(int i=1;i<=m;i++) 57 { 58 int x,y;scanf("%d%d",&x,&y); 59 addedge(n+i,id[x]);addedge(id[x],n+i);addedge(n+i,id[y]);addedge(id[y],n+i);id[y]=n+i; 60 } 61 for(int i=n+m;i;i--)if(!rt[i][0])dfs(i,-1,1,++tim); 62 for(int i=1;i<=k;i++) 63 { 64 int x,y;scanf("%d%d",&x,&y); 65 if(dfn[x]==dfn[y])question[++cnt]=(ques){x,y,dep[lca(x,y)],i}; 66 } 67 sort(question+1,question+cnt+1); 68 long long ans=0; 69 for(int i=1;i<=cnt;i++) 70 { 71 int x=question[i].x,y=question[i].y;long long delta=min(g[x],g[y]); 72 ans+=1ll*delta,g[x]-=delta,g[y]-=delta; 73 } 74 printf("%lld\n",1ll*ans<<1); 75 //while(1); 76 } 77 int sb=haha(); 78 int main(){;}
找出距离平面上多个固定点最小值最远的一条路。
正解是二分答案加$bfs$验证……然而我想了一个奇葩思路……$bfs$一遍之后对整个矩阵重新建边……然后二分答案的基础上每次只用大于这个距离的边跑$SPFA$……（考试时建边次数过多爆零……）
1 #include<iostream> 2 #include<cstdio> 3 #include<algorithm> 4 #include<cstring> 5 #include<queue> 6 using namespace std; 7 const int maxn=10005,maxx=1005; 8 queue<int>qx,qy; 9 struct node 10 { 11 int from,to,dis,next; 12 }edge[maxx*maxx<<3]; 13 int head[maxx*maxx],tot; 14 void addedge(int u,int v,int w) 15 { 16 edge[++tot]=(node){u,v,w,head[u]};head[u]=tot; 17 } 18 int dis[maxx][maxx],dist[maxx*maxx],x[maxn],y[maxn],n,sx,sy,ex,ey,X,Y,dx[4]={0,0,1,-1},dy[4]={1,-1,0,0},id[maxx][maxx],longest; 19 void bfs() 20 { 21 while(!qx.empty()) 22 { 23 int tx=qx.front(),ty=qy.front(); 24 qx.pop();qy.pop(); 25 for(int d=0;d<4;d++) 26 { 27 int tmpx=tx+dx[d],tmpy=ty+dy[d]; 28 if(tmpx<0||tmpx>=X||tmpy<0||tmpy>=Y)continue; 29 if(dis[tx][ty]==-1||dis[tmpx][tmpy]==-1)addedge(id[tx][ty],id[tmpx][tmpy],0),addedge(id[tmpx][tmpy],id[tx][ty],0); 30 else addedge(id[tmpx][tmpy],id[tx][ty],(dis[tmpx][tmpy]==0?dis[tx][ty]:min(dis[tmpx][tmpy],dis[tx][ty]))),addedge(id[tx][ty],id[tmpx][tmpy],(dis[tmpx][tmpy]==0?dis[tx][ty]:min(dis[tx][ty],dis[tmpx][tmpy]))); 31 if(dis[tmpx][tmpy]!=0)continue; 32 dis[tmpx][tmpy]=(dis[tx][ty]<0?1:dis[tx][ty]+1); 33 qx.push(tmpx);qy.push(tmpy);longest=max(longest,dis[tmpx][tmpy]); 34 } 35 } 36 } 37 int Q[65540]; 38 unsigned short h,t; 39 bool inqueue[maxx*maxx]; 40 bool spfa(int val) 41 { 42 for(int i=1;i<=X*Y;i++)dist[i]=0x7f7f7f7f/2;h=0,t=0; 43 dist[id[sx][sy]]=0;Q[t++]=id[sx][sy];inqueue[id[sx][sy]]=1; 44 while(h!=t) 45 { 46 int x=Q[h++];inqueue[x]=0; 47 for(int i=head[x];i;i=edge[i].next) 48 { 49 int v=edge[i].to; 50 if(edge[i].dis>=val&&dist[x]+1<dist[v]) 51 { 52 dist[v]=dist[x]+1; 53 if(!inqueue[v])inqueue[v]=1,Q[t++]=v; 54 } 55 } 56 } 57 return dist[id[ex][ey]]<0x7f7f7f7f/2; 58 } 59 bool visit[maxx][maxx]; 60 bool check(int val) 61 { 62 return spfa(val); 63 } 64 int haha() 65 { 66 scanf("%d%d%d",&n,&X,&Y);scanf("%d%d%d%d",&sx,&sy,&ex,&ey); 67 for(int i=1;i<=n;i++) 68 { 69 scanf("%d%d",&x[i],&y[i]); 70 dis[x[i]][y[i]]=-1; 71 qx.push(x[i]);qy.push(y[i]); 72 } 73 int cnt=0; 74 for(int i=0;i<X;i++) 75 for(int j=0;j<Y;j++)id[i][j]=++cnt; 76 bfs(); 77 int l=0,r=longest,mid,ans=0,step; 78 spfa(0);step=dist[id[ex][ey]]; 79 while(l<=r) 80 { 81 mid=(l+r)>>1; 82 if(check(mid))l=mid+1,ans=mid,step=dist[id[ex][ey]]; 83 else r=mid-1; 84 } 85 printf("%d %d\n",ans,step); 86 } 87 int sb=haha(); 88 int main(){;}
（即使不重新建边也是丧心病狂的用了循环队列才卡过的……）
给出一张有向图，$SCC$中点传递不需要花费，找出信息传递最小花费。
傻乎乎的打了个克鲁斯卡尔……然后有向图……$GG$……结局是一个奥妙重重的贪心……
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 using namespace std; 6 const int maxn=50005,maxm=100005; 7 struct node 8 { 9 int from,to,dis,next; 10 bool operator <(const node &b)const 11 { 12 return dis<b.dis; 13 } 14 }edge[maxm<<1]; 15 int head[maxn],tot,n,m; 16 void addedge(int u,int v,int w) 17 { 18 edge[++tot]=(node){u,v,w,head[u]};head[u]=tot; 19 } 20 int tim[maxn],ti,dfn[maxn],low[maxn],belong[maxn],cnt,scnt; 21 #include<stack> 22 stack<int>s; 23 void dfs(int now) 24 { 25 tim[now]=ti;low[now]=dfn[now]=++cnt;s.push(now); 26 for(int i=head[now];i;i=edge[i].next) 27 { 28 int v=edge[i].to; 29 if(tim[v]!=ti)dfs(v),low[now]=min(low[now],low[v]); 30 else if(!belong[v])low[now]=min(low[now],dfn[v]); 31 } 32 if(low[now]==dfn[now]) 33 { 34 scnt++;int k; 35 do 36 { 37 k=s.top();s.pop(); 38 belong[k]=scnt; 39 }while(k!=now); 40 } 41 } 42 int pa[maxn]; 43 int getfa(int x) 44 { 45 return pa[x]==x?x:pa[x]=getfa(pa[x]); 46 } 47 void unionn(int x,int y) 48 { 49 x=getfa(x),y=getfa(y); 50 if(x!=y)pa[y]=x; 51 } 52 int minn[maxn]; 53 int haha() 54 { 55 while(scanf("%d%d",&n,&m)!=EOF&&n) 56 { 57 ti++;tot=cnt=scnt=0;memset(belong,0,sizeof(belong));memset(head,0,sizeof(head)); 58 for(int i=1;i<=m;i++) 59 { 60 int x,y,z;scanf("%d%d%d",&x,&y,&z); 61 addedge(x,y,z); 62 } 63 for(int i=0;i<n;i++) 64 if(tim[i]!=ti)dfs(i); 65 memset(head,0,sizeof(head)); 66 for(int i=1;i<=m;i++) 67 { 68 int u=edge[i].from,v=edge[i].to; 69 if(belong[u]!=belong[v])addedge(belong[u],belong[v],edge[i].dis); 70 } 71 sort(edge+m+1,edge+tot+1); 72 int sum=0,num=0; 73 for(int i=1;i<=scnt;i++)pa[i]=i,minn[i]=2147483647; 74 for(int i=m+1;i<=tot;i++) 75 { 76 int v=edge[i].to; 77 minn[v]=min(minn[v],edge[i].dis); 78 } 79 int ans=0; 80 for(int i=1;i<=scnt;i++) 81 if(minn[i]!=2147483647)ans+=minn[i]; 82 printf("%d\n",ans); 83 } 84 } 85 int sb=haha(); 86 int main(){;}
（可以看到我克鲁斯卡尔代码还在呢……）
给出一个矩阵中敌军分布，求出有多少个子矩阵里面恰好有边长个敌军。保证每一行每一列只有一个敌军。
这一句话告诉我们歌者举起了二向箔实施了降维打击，变成了一个序列问题……然后神分治……
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 using namespace std; 6 const int maxn=50005; 7 int pos[maxn],n,ans,minn[maxn],maxx[maxn],t[maxn*5]; 8 void solve(int l,int r) 9 { 10 if(l==r){ans++;return;}//分治终点，因为1*1一定合法直接自加 11 int mid=(l+r)>>1;minn[mid]=maxx[mid]=pos[mid];minn[mid+1]=maxx[mid+1]=pos[mid+1];//初始化，从中间向两端进行 12 int z1=mid+1,z2=mid+1;//初始化稍后使用的指针 13 for(int i=mid-1;i>=l;i--)minn[i]=min(minn[i+1],pos[i]),maxx[i]=max(maxx[i+1],pos[i]);//初始化从中间蔓延到左侧的最大值和最小值 14 for(int i=mid+2;i<=r;i++)minn[i]=min(minn[i-1],pos[i]),maxx[i]=max(maxx[i-1],pos[i]);//蔓延到右侧的最大值和最小值 15 for(int i=mid;i>=l;i--)//研究左侧的那一半 16 { 17 int j=maxx[i]-minn[i]+i;//计算出从中间到这里最大值和最小值差，再加上该点位置就是合法矩形右边界 18 if(j>mid&&j<=r&&maxx[j]<maxx[i]&&minn[j]>minn[i])ans++;//如果这个右边界合法（即：这个矩形跨过了中间值且没有超过右边界，并且这个矩形之中最大值和最小值就是左侧的最大值和最小值以保证合法），这个矩形就是合法的，方式数增加 19 while(z2<=r&&minn[z2]>=minn[i])t[maxx[z2]-z2+maxn]++,z2++;//如果最小值在左侧最大值在右侧，那么max(右半段)-min(左半段)=r-l，移项就可以得到max(右半段)-r=min(左半段)-l，反之亦然，如果max(右半段)-r=min(左半段)-l,那么这个区间就是合法的，这个对应的区间左端点数目增加 20 while(z1<=r&&maxx[z1]<=maxx[i])t[maxx[z1]-z1+maxn]--,z1++;//同理，寻找所有加入这个值之后不合法的右端点，踢掉 21 ans+=max(t[minn[i]-i+maxn],0);//统计答案 22 } 23 for(int i=l;i<=r;i++)t[maxx[i]-i+maxn]=0;z1=mid;z2=mid; 24 for(int i=mid+1;i<=r;i++) 25 { 26 int j=i-maxx[i]+minn[i]; 27 if(j<=mid&&j>=l&&maxx[j]<maxx[i]&&minn[j]>minn[i])ans++; 28 while(z2>=l&&minn[z2]>=minn[i])t[maxx[z2]+z2+maxn]++,z2--; 29 while(z1>=l&&maxx[z1]<=maxx[i])t[maxx[z1]+z1+maxn]--,z1--; 30 ans+=max(t[minn[i]+i+maxn],0); 31 } 32 for(int i=l;i<=r;i++)t[maxx[i]+i+maxn]=0; 33 solve(l,mid);solve(mid+1,r); 34 } 35 int haha() 36 { 37 scanf("%d",&n); 38 for(int i=1;i<=n;i++) 39 { 40 int x,y;scanf("%d%d",&x,&y); 41 pos[x]=y; 42 } 43 solve(1,n);printf("%d\n",ans); 44 } 45 int sb=haha(); 46 int main(){;}
求出线性方程的正整数解个数。
明眼人都知道怎么做……然而我口胡了一个解析几何……
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 using namespace std; 6 long long gcd(long long x,long long y){return !y?x:gcd(y,x%y);} 7 long long f(long long a,long long b,long long c) 8 { 9 long long x=c*1ll/a*1ll,num=0;long long i; 10 for(i=1;i<=x;i++) 11 { 12 if((c*1ll-a*1ll*i)<=0)continue; 13 if((c*1ll-a*1ll*i)%(b*1ll))continue; 14 num++;break; 15 } 16 if(!num)return 0; 17 num+=(x*1ll-i)/b*1ll; 18 if(!((x-i)%b)&&a*x==c&&!(c%a))num--; 19 return num; 20 } 21 int haha() 22 { 23 int t;scanf("%d",&t); 24 while(t--) 25 { 26 long long a,b,c;scanf("%lld%lld%lld",&a,&b,&c); 27 if(a<0)a*=(-1ll),b*=(-1ll),c*=(-1ll); 28 if(a==0) 29 { 30 if(b==0){if(c)puts("0");else puts("ZenMeZheMeDuo");continue;} 31 if(c%b||b*c<0)puts("0");else puts("ZenMeZheMeDuo"); 32 continue; 33 } 34 if(b==0) 35 { 36 if(c%a||a*c<0)puts("0");else puts("ZenMeZheMeDuo"); 37 continue; 38 } 39 long long g=gcd(abs(a),abs(b));if(abs(c)%g){puts("0");continue;}a/=g,b/=g,c/=g; 40 if(a*1ll*b*1ll<0){puts("ZenMeZheMeDuo");continue;} 41 long long ans=max(f(a,b,c),0ll); 42 if(ans<=65535)printf("%lld\n",ans); 43 else puts("ZenMeZheMeDuo"); 44 } 45 } 46 int sb=haha(); 47 int main(){;}
出门右转：http://www.cnblogs.com/LadyLex/p/7337179.html然而只有我没做过
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 #include<vector> 6 using namespace std; 7 const int maxn=2005; 8 struct node 9 { 10 int from,to,next;long long dis; 11 node(){;} 12 node(int u,int v,long long w,int x):from(u),to(v),dis(w),next(x){;} 13 }edge[maxn<<1]; 14 int head[maxn],tot; 15 void addedge(int u,int v,long long w) 16 { 17 edge[++tot]=node(u,v,w,head[u]);head[u]=tot; 18 } 19 long long f[maxn][maxn],g[maxn]; 20 int n,m,sz[maxn]; 21 void dp(int root,int pa) 22 { 23 sz[root]=1;long long cnt; 24 for(int i=head[root];i;i=edge[i].next) 25 { 26 int v=edge[i].to; 27 if(v!=pa) 28 { 29 dp(v,root); 30 memset(g,0,sizeof(g)); 31 for(int j=0;j<=sz[root];j++) 32 for(int k=0;k<=sz[v];k++)cnt=k*1ll*(m-k)+(sz[v]-k)*1ll*(n-m-(sz[v]-k)),g[j+k]=max(g[j+k],f[root][j]+f[v][k]+cnt*edge[i].dis); 33 sz[root]+=sz[v]; 34 for(int j=0;j<=sz[root];j++)f[root][j]=g[j]; 35 } 36 } 37 } 38 int haha() 39 { 40 scanf("%d%d",&n,&m); 41 for(int i=1;i<n;i++) 42 { 43 int x,y;long long z;scanf("%d%d%lld",&x,&y,&z); 44 addedge(x,y,z);addedge(y,x,z); 45 } 46 dp(1,0);printf("%lld\n",f[1][m]); 47 } 48 int sb=haha(); 49 int main(){;}
#include<iostream>#include<cstdio>#include<cstring>#include<algorithm>#include<vector>using namespace std;const int maxn=2005;struct node{ int from,to,next;long long dis; node(){;} node(int u,int v,long long w,int x):from(u),to(v),dis(w),next(x){;}}edge[maxn<<1];int head[maxn],tot;void addedge(int u,int v,long long w){ edge[++tot]=node(u,v,w,head[u]);head[u]=tot;}long long f[maxn][maxn],g[maxn];int n,m,sz[maxn];void dp(int root,int pa){ sz[root]=1;long long cnt; for(int i=head[root];i;i=edge[i].next) { int v=edge[i].to; if(v!=pa) { dp(v,root); memset(g,0,sizeof(g)); for(int j=0;j<=sz[root];j++) for(int k=0;k<=sz[v];k++)cnt=k*1ll*(m-k)+(sz[v]-k)*1ll*(n-m-(sz[v]-k)),g[j+k]=max(g[j+k],f[root][j]+f[v][k]+cnt*edge[i].dis); sz[root]+=sz[v]; for(int j=0;j<=sz[root];j++)f[root][j]=g[j]; } }}int haha(){ scanf("%d%d",&n,&m); for(int i=1;i<n;i++) { int x,y;long long z;scanf("%d%d%lld",&x,&y,&z); addedge(x,y,z);addedge(y,x,z); } dp(1,0);printf("%lld\n",f[1][m]);}int sb=haha();int main(){;}标签：over lin == 解析 dex get ret 取值 基础
原文地址：http://www.cnblogs.com/Loser-of-Life/p/7517529.html
