#include <bits/stdc++.h> using namespace std; #define int long long #define ii pair<int,int> #define iii tuple<int,int,int> #define fi first #define se second #define endl '\n' #define pub push_back #define pob pop_back #define puf push_front #define pof pop_front #define lb lower_bound #define ub upper_bound #define rep(x,start,end) for(int x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--)) #define all(x) (x).begin(),(x).end() #define sz(x) (int)(x).size() mt19937 rng(chrono::system_clock::now().time_since_epoch().count()); const int MOD=998244353; int n,q; string s; struct dat{ int mat[7][7]={}; int pre[6]={-1,-1,-1,-1,-1,-1}; int suf[6]={-1,-1,-1,-1,-1,-1}; int dp[6][6]={}; int bm; dat(){} dat(int s){ rep(x,0,7) mat[x][x]=mat[s][x]=1; pre[s]=suf[s]=0; dp[s][s]=1; bm=1<<s; } }; dat merge(dat A,dat B){ dat res; rep(x,0,7) rep(y,0,7) rep(z,0,7){ res.mat[x][z]=(res.mat[x][z]+A.mat[x][y]*B.mat[y][z])%MOD; } res.bm=A.bm|B.bm; rep(x,0,6){ if (A.pre[x]!=-1) res.pre[x]=A.pre[x]; else res.pre[x]=B.pre[x]|A.bm; if (B.suf[x]!=-1) res.suf[x]=B.suf[x]; else res.suf[x]=A.suf[x]|B.bm; } rep(x,0,6) rep(y,0,6){ if (A.pre[x]==-1) res.dp[x][y]=(res.dp[x][y]+B.dp[x][y])%MOD; if (B.pre[y]==-1) res.dp[x][y]=(res.dp[x][y]+A.dp[x][y])%MOD; } rep(b,0,6) rep(c,0,6) if (((B.pre[c]>>b)&1)==0 && ((A.suf[b]>>c)&1)==0){ rep(a,0,6) rep(d,0,6) res.dp[a][d]=(res.dp[a][d]+A.dp[a][b]*B.dp[c][d])%MOD; } return res; } struct node{ int s,e,m; dat val; node *l,*r; node (int _s,int _e){ s=_s,e=_e,m=s+e>>1; if (s!=e){ l=new node(s,m); r=new node(m+1,e); val=merge(l->val,r->val); } else{ val=dat(::s[s]-'a'); } } void update(int i,int k){ if (s==e) val=dat(k); else{ if (i<=m) l->update(i,k); else r->update(i,k); val=merge(l->val,r->val); } } } *root; void calc(){ int ans=0; rep(x,0,6) ans=(ans+root->val.mat[x][6])%MOD; rep(x,0,6) rep(y,0,6) ans=(ans-root->val.dp[x][y]+MOD)%MOD; cout<<ans<<endl; } signed main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin.exceptions(ios::badbit | ios::failbit); cin>>n>>q; cin>>s; s="$"+s; root=new node(1,n); calc(); while (q--){ int a; char c; cin>>a>>c; root->update(a,c-'a'); calc(); } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 | #include <bits/stdc++.h> using namespace std; #define int long long #define ii pair<int,int> #define iii tuple<int,int,int> #define fi first #define se second #define endl '\n' #define pub push_back #define pob pop_back #define puf push_front #define pof pop_front #define lb lower_bound #define ub upper_bound #define rep(x,start,end) for(int x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--)) #define all(x) (x).begin(),(x).end() #define sz(x) (int)(x).size() mt19937 rng(chrono::system_clock::now().time_since_epoch().count()); const int MOD=998244353; int n,q; string s; struct dat{ int mat[7][7]={}; int pre[6]={-1,-1,-1,-1,-1,-1}; int suf[6]={-1,-1,-1,-1,-1,-1}; int dp[6][6]={}; int bm; dat(){} dat(int s){ rep(x,0,7) mat[x][x]=mat[s][x]=1; pre[s]=suf[s]=0; dp[s][s]=1; bm=1<<s; } }; dat merge(dat A,dat B){ dat res; rep(x,0,7) rep(y,0,7) rep(z,0,7){ res.mat[x][z]=(res.mat[x][z]+A.mat[x][y]*B.mat[y][z])%MOD; } res.bm=A.bm|B.bm; rep(x,0,6){ if (A.pre[x]!=-1) res.pre[x]=A.pre[x]; else res.pre[x]=B.pre[x]|A.bm; if (B.suf[x]!=-1) res.suf[x]=B.suf[x]; else res.suf[x]=A.suf[x]|B.bm; } rep(x,0,6) rep(y,0,6){ if (A.pre[x]==-1) res.dp[x][y]=(res.dp[x][y]+B.dp[x][y])%MOD; if (B.pre[y]==-1) res.dp[x][y]=(res.dp[x][y]+A.dp[x][y])%MOD; } rep(b,0,6) rep(c,0,6) if (((B.pre[c]>>b)&1)==0 && ((A.suf[b]>>c)&1)==0){ rep(a,0,6) rep(d,0,6) res.dp[a][d]=(res.dp[a][d]+A.dp[a][b]*B.dp[c][d])%MOD; } return res; } struct node{ int s,e,m; dat val; node *l,*r; node (int _s,int _e){ s=_s,e=_e,m=s+e>>1; if (s!=e){ l=new node(s,m); r=new node(m+1,e); val=merge(l->val,r->val); } else{ val=dat(::s[s]-'a'); } } void update(int i,int k){ if (s==e) val=dat(k); else{ if (i<=m) l->update(i,k); else r->update(i,k); val=merge(l->val,r->val); } } } *root; void calc(){ int ans=0; rep(x,0,6) ans=(ans+root->val.mat[x][6])%MOD; rep(x,0,6) rep(y,0,6) ans=(ans-root->val.dp[x][y]+MOD)%MOD; cout<<ans<<endl; } signed main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin.exceptions(ios::badbit | ios::failbit); cin>>n>>q; cin>>s; s="$"+s; root=new node(1,n); calc(); while (q--){ int a; char c; cin>>a>>c; root->update(a,c-'a'); calc(); } } |