A.魔法
部分分\(R=1,B=1\)的一种做法是括号匹配，这提示了正解。
做法就是用类似单调栈的方法，逐次进栈，栈顶恰好可消即消，最后倒序输出操作即可
点击查看代码
#include <bits/stdc++.h>
typedef long long ll;typedef unsigned long long ull; typedef double db;typedef long double ldb;
#define fre(x) freopen(#x ".in","r",stdin),freopen(#x ".out","w",stdout)
#define Rep(i,a,b) for(int i=a;i<=b;++i)
#define Dwn(i,a,b) for(int i=a;i>=b;--i)
#define pii pair<int,int>
#define mair make_pair
#define fir first
#define sec second
using namespace std;
const int maxn=2e5+10;
int st[maxn];
int n,R,B,Len;
char s[maxn];
int cnt[2];
vector<int>Ans[maxn];
int tot,top;
void Pop(){
++tot;
Rep(i,1,Len){ Ans[tot].emplace_back(st[top]); --top; }
cnt[0]=cnt[1]=0;
Rep(i,max(1,top-Len+2),top)++cnt[(s[st[i]]=='B' ? 1 : 0)];
}
void solve(){
cin>>n>>R>>B;cin>>(s+1);
Len=R+B;top=Len-1;
Rep(i,1,Len-1)st[i]=i,++cnt[(s[i]=='B' ? 1 : 0)];
Rep(i,Len,n){
st[++top]=i;++cnt[(s[i]=='B' ? 1 : 0)];
if(top>=Len){
if(cnt[0]==R && cnt[1]==B)Pop();
else --cnt[(s[st[top-Len+1]]=='B' ? 1 : 0)];
}
}
if(!top){
cout<<"YES\n";
cout<<tot<<"\n";
Dwn(i,tot,1){
for(auto it : Ans[i])cout<<it<<" ";
cout<<"\n";
}
}else cout<<"NO\n";
}
int main (){ fre(magic);ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);return solve(),0; }
B.连通性
直接粘了，题解挺清楚了。
点击查看代码
#include <bits/stdc++.h>
typedef long long ll;typedef unsigned long long ull; typedef double db;typedef long double ldb;
#define fre(x) freopen(#x ".in","r",stdin),freopen(#x ".out","w",stdout)
#define Rep(i,a,b) for(int i=a;i<=b;++i)
#define Dwn(i,a,b) for(int i=a;i>=b;--i)
#define pii pair<int,int>
#define mair make_pair
#define fir first
#define sec second
using namespace std;
const int maxn=1e2+10,Mod=1e9+7;
int pw(int x,int p){int res=1,base=x;while(p){if(p&1)res=1LL*res*base%Mod;base=1LL*base*base%Mod;p>>=1;}return res;}
int Inv(int x){return pw(x,Mod-2);}
int n,m;
int C[maxn][maxn],E[maxn][maxn];
int f[maxn][maxn],g[maxn],h[maxn][maxn];
void InitC(const int n=1e2){ C[0][0]=1; Rep(i,1,n){ C[i][0]=1;Rep(j,1,i)C[i][j]=(C[i-1][j]+C[i-1][j-1])%Mod; } }
void InitE(const int n=1e2){ E[0][0]=1; Rep(i,1,n){ E[i][0]=1;Rep(j,1,i)E[i][j]=(E[i-1][j]+E[i-1][j-1])%(Mod-1); } }
/*
void solve(){
n=100;
Rep(i,1,n){
Rep(j,1,i-1)g[i]=(g[i]-1LL*g[j]*pw(2,E[i-j][2])%Mod*C[i-1][j-1])%Mod;
g[i]=(g[i]+pw(2,E[i][2]))%Mod;
}
Rep(i,1,n)Rep(j,1,n)h[i][j]=1LL*g[i]*pw(pw(2,i)-1,j)%Mod*pw(2,E[j][2])%Mod;
f[0][0]=1;
Rep(i,1,n){
f[i][0]=pw(2,E[i][2]);
Rep(j,1,i){
Rep(k,1,j)f[i][j]=(f[i][j]+1LL*f[i-k][j-k]*C[j-1][k-1])%Mod;
Rep(k,1,j)Rep(l,1,i-j)
f[i][j]=(f[i][j]+1LL*f[i-k-l][j-k]*C[j-1][k-1]%Mod*C[i-j][l]%Mod*h[l][k])%Mod;
}
}
Rep(i,1,n){
cout<<"{ ";
Rep(j,0,100)cout<<(f[i][j]%Mod+Mod)%Mod<<",";
cout<<" },"<<"\n";
}
}
*/
int ans[101][101]={
{},
{ 1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 8,7,6,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 64,51,38,25,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 1024,814,584,356,155,52,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 32768,27562,20950,13674,6794,1731,203,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 2097152,1881132,1559050,1143026,688940,285399,42597,877,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 268435456,252352192,225134416,183912440,130448704,73134373,25675622,2389418,4140,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 719476260,437453186,285852834,198930901,417447372,493700668,936095345,770727467,287447420,21147,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 371842544,598590656,444061297,956708189,127125386,834823998,128227000,223478915,929725695,302765502,115975,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 766762396,413139421,351102112,112130130,188617941,339825372,543187105,114675694,623357729,261270827,104995134,678570,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 329376018,705367106,201640714,352379330,550132198,846985547,818860561,624544091,494980544,959053918,443889176,751093169,4213597,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 124160285,828328425,906083967,147213859,527558165,193958029,794519533,742501375,789123747,444469745,993581787,979243161,593627163,27644437,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 121047601,912065930,1351624,402906644,713933492,50841084,863660427,577705270,887029586,145474376,588251882,706568129,777275244,642664828,190899322,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 243880903,599607852,442677191,436289683,281113930,146582434,584824855,564630340,394164220,378918082,150572902,532909740,763622255,37460367,184612284,382958538,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 489373567,413411086,951426968,887302037,155903135,283219023,620782126,905791112,644465700,989656495,523232248,664652865,948982217,20783496,743914774,684000569,480142077,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 585862415,487913812,590859253,163506170,675080686,265650536,163485583,426697524,541587646,670844388,797779476,563923072,432598176,907835837,738939538,774082037,950670428,864869230,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 157921350,585213032,124127002,444551557,903311742,164413448,386967031,407995046,262661729,344515452,135908010,878209413,368549114,629205902,255793356,578014821,143082468,257436696,76801385,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 134084614,402761743,842286714,498687688,314252511,433353429,874023832,163451857,900776051,750447840,374976568,374596374,409363634,1428564,912190395,954400021,334527550,458752164,941524580,742164233,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 953612746,62713484,886653018,688345870,697128468,646792556,447421618,157888096,21488155,259486619,668079888,781355645,145564249,348149153,451544648,902288907,821364589,27915451,532351829,752058720,157873304,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 431750151,79333107,758273946,860328871,840463615,976556515,146605392,618220382,698863882,145835594,427902538,38761432,701961998,464958606,869153221,553709997,280018488,290250685,77551688,344667085,416460692,812832668,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 686331837,758771584,485081276,510183332,730280308,184674456,873283293,908734440,930495524,921797799,212061161,804809207,51215048,121939666,630812700,361452271,26060826,260673621,368617358,224024063,925630581,990272358,706900318,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 349105660,25145415,494217168,424339281,884124084,178064091,100120309,586769841,537648583,716807985,873050578,284978094,16767349,478326338,360734130,365771597,696838864,978081529,737982499,875617822,24227796,132241837,339570145,546020311,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
{ 511821710,985509751,578878282,683372471,984664469,445595417,511225116,297223834,226459528,50743021,379480638,49592809,80759195,105089674,771654463,22227793,380679886,708398028,50944040,764421492,498261079,315274861,591041992,688069697,173093227,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, },
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};
void solve(){
cin>>n>>m;
cout<<ans[n][m]<<"\n";
}
int tex;
int main (){
fre(floyd);
ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);cin>>tex;InitC(),InitE();while(tex--)solve();
}
C.字符串的价值
AC自动机上dp板题，没啥好说的，注意别完全暴力枚举就行了
点击查看代码
#include <bits/stdc++.h>
typedef long long ll;typedef unsigned long long ull; typedef double db;typedef long double ldb;
#define fre(x) freopen(#x ".in","r",stdin),freopen(#x ".out","w",stdout)
#define Rep(i,a,b) for(int i=a;i<=b;++i)
#define Dwn(i,a,b) for(int i=a;i>=b;--i)
#define pii pair<int,int>
#define mair make_pair
#define fir first
#define sec second
#define lowbit(x) (x&-x)
using namespace std;
const int maxn=5e5+10;
const ll INF=0x8080808080808080;
int n;
char s[maxn];int now;
struct ACM{
struct Ver{ int son[14],fail;ll val; }V[10020];
int tot,root;
ACM(){ root=tot=1; }
void Insert( const string &s ,int w){
int u=root;
for(auto it : s){
int c=it-'a';
if(!V[u].son[c])V[u].son[c]=++tot;
u=V[u].son[c];
}
V[u].val+=w;
}
void Fail(){
queue<int>q;
Rep(i,0,13){
if(V[root].son[i])V[V[root].son[i]].fail=root,q.push(V[root].son[i]);
else V[root].son[i]=root;
}
while(!q.empty()){
int u=q.front();q.pop();
V[u].val+=V[V[u].fail].val;
Rep(i,0,13){
if(V[u].son[i])V[V[u].son[i]].fail=V[V[u].fail].son[i],q.push(V[u].son[i]);
else V[u].son[i]=V[V[u].fail].son[i];
}
}
}
}A;
vector<int>sit[20];
int to[1010];
ll dis[1010];
int use=0;
ll dp[2][1010][1<<14];
int f,g;
void Movet(int p){
if(now==p){
Rep(u,1,A.tot)to[u]=u,dis[u]=0;
return;
}
Rep(u,1,A.tot){
to[u]=-1,dis[u]=0;
for(auto it : sit[use])if(dp[f][u][it]!=INF){ to[u]=u;break; }
}
Rep(u,1,A.tot)if(to[u]!=-1){
Rep(i,now+1,p){
to[u]=A.V[to[u]].son[s[i]-'a'];
dis[u]+=A.V[to[u]].val;
}
}
now=p;
}
int id[1<<14],V;
void solve(){
cin>>n;Rep(i,1,n){ string a;int x;cin>>a>>x;A.Insert(a,x); }
A.Fail();now=0;cin>>(s+1);n=strlen(s+1);memset(dp,0x80,sizeof(dp));
for(int i=0;i<(1<<14);++i)sit[__builtin_popcount(i)].emplace_back(i);
for(int i=0;i<14;++i)id[1<<i]=i;
f=0,g=1;dp[f][1][0]=0;V=(1<<14)-1;
Rep(i,1,n)if(s[i]=='?'){
Movet(i-1);
Rep(u,1,A.tot)if(to[u]!=-1){
int tar=to[u];
for(auto it : sit[use])if(dp[f][u][it]!=INF){
int bit=V^(it);
for(int j;bit;bit-=lowbit(bit)){
j=id[lowbit(bit)];
dp[g][A.V[tar].son[j]][it|(1<<j)]=max(dp[g][A.V[tar].son[j]][it|(1<<j)],dp[f][u][it]+dis[u]+A.V[A.V[tar].son[j]].val);
}
dp[f][u][it]=INF;
}
}
swap(f,g);
now=i;++use;
}
Movet(n);ll ans=INF;
Rep(u,1,A.tot)if(to[u]!=-1)
for(auto it : sit[use])if(dp[f][u][it]!=INF)ans=max(ans,dp[f][u][it]+dis[u]);
cout<<ans<<"\n";
}
int main (){ fre(value);ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);return solve(),0; }
D.排列
nb概率期望。
只讲如何dp，剩下的粘题解了。
考虑每次转移就是添加一段，枚举这一段的偶数位置个数，这一段的贡献就是建树后各个点\(\frac{1}{siz}\)的积，考虑预处理在已有大小为\(s\)的树，添加一条长为\(i\)的链的转移系数，分奇奇，偶奇，奇偶讨论，具体就是枚举偶数到底选的那个，算出子树siz积，再乘上选奇数的方案数，然后dp做转移就行了。
点击查看代码
#include <bits/stdc++.h>
typedef long long ll;typedef unsigned long long ull; typedef double db;typedef long double ldb;
#define fre(x) freopen(#x ".in","r",stdin),freopen(#x ".out","w",stdout)
#define Rep(i,a,b) for(int i=a;i<=b;++i)
#define Dwn(i,a,b) for(int i=a;i>=b;--i)
#define pii pair<int,int>
#define mair make_pair
#define fir first
#define sec second
using namespace std;
const int maxn=2e2+30;
int n,K,N,Mod;
int C[maxn][maxn],fac[maxn],inv[maxn],ifac[maxn];
int pw(int x,int p){int res=1,base=x;while(p){if(p&1)res=1LL*res*base%Mod;base=1LL*base*base%Mod;p>>=1;}return res;}
int Inv(int x){return pw(x,Mod-2);}
void InitC(const int n=2e2){
fac[0]=1;Rep(i,1,n)fac[i]=1LL*fac[i-1]*i%Mod;
inv[0]=inv[1]=1;Rep(i,2,n)inv[i]=1LL*(Mod-Mod/i)*inv[Mod%i]%Mod;
// Rep(i,2,n)inv[i]=1LL*inv[i]*inv[i-1]%Mod;
ifac[0]=1;Rep(i,1,n)ifac[i]=1LL*ifac[i-1]*inv[i]%Mod;
}
int f[maxn][maxn][maxn],g[maxn][maxn][3],ans[maxn][maxn];
void DP(){
n=105;int inv4=Inv(4);
for(int i=0;i<n+n;++i)for(int j=1;j<n && i+j<=n+n;++j){
{ int res=1;Rep(k,1,j)res=1LL*res*inv[k+i]%Mod; g[i][j][0]=res;}
Rep(l,1,j){
int res=1;
Rep(k,1,j)res=1LL*res*inv[k+i+(k>=l)]%Mod;
g[i][j][1]=(g[i][j][1]+1LL*res*(j-l))%Mod;
g[i][j][2]=(g[i][j][2]+1LL*res*l)%Mod;
}
}
// Rep(i,0,n+n)Rep(j,1,n)cerr<<g[i][j][0]<<" \n"[j==n];
f[0][0][0]=1;
Rep(i,0,n-1){
Rep(j,0,i){
Rep(s,0,2*i)if(f[i][j][s]){
Rep(k,1,n-i){
f[i+k][j+1][s+k]=(f[i+k][j+1][s+k]+1LL*f[i][j][s]*g[s][k][0]%Mod*k%Mod*(k-1)%Mod*inv4)%Mod;
f[i+k][j+1][s+k+1]=(f[i+k][j+1][s+k+1]+1LL*f[i][j][s]*g[s][k][1])%Mod;
f[i+k][j+1][s+k+1]=(f[i+k][j+1][s+k+1]-1LL*f[i][j][s]*g[s][k][2])%Mod;
f[i+k][j+1][s+k]=(f[i+k][j+1][s+k]+1LL*f[i][j][s]*k%Mod*(k+1)%Mod*inv[2]%Mod*g[s][k][0])%Mod;
}
}
}
}
Rep(i,1,n)Rep(j,1,n)Rep(k,1,2*i)ans[i][j]=(ans[i][j]+f[i][j][k])%Mod;
cerr<<"Ok"<<"\n";
}
void solve(){
cin>>n>>K;
cout<<1LL*(ans[n][K]%Mod+Mod)%Mod*fac[n]%Mod<<"\n";
}
int tex;
int main (){
fre(permutation);
ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);cin>>Mod;cin>>tex;InitC();DP();while(tex--)solve();
}