Submission #851014

#TimeUsernameProblemLanguageResultExecution timeMemory
851014alexddLucky Numbers (RMI19_lucky)C++17
28 / 100
12 ms27224 KiB
#include<bits/stdc++.h> using namespace std; #define int long long const int MOD = 1e9+7; string s; int n,cntq; int nr[100005]; int dp[100005][10]; void calc_nr() { dp[0][0]=1; nr[0]=1; for(int i=1;i<=n;i++) { for(int j=0;j<10;j++) { if(j!=3) dp[i][j]=nr[i-1]; nr[i]+=dp[i][j]; nr[i]%=MOD; } dp[i][3] += (MOD + nr[i-1] - dp[i-1][1])%MOD; dp[i][3]%=MOD; nr[i]+=dp[i][3]; nr[i]%=MOD; //cout<<i<<" "<<nr[i]<<" zzz\n"; } } ///nr1[i] = nr1[i-1] + nr[i-1] * 8 struct node { int l,r; int cnt; int cnt1; int cnt3; int cnt31; int isgood=1; }; node emp={-1,-1,-1,-1,-1,-1,0}; node combine(node x, node y) { if(x.cnt==-1) return y; if(y.cnt==-1) return x; node rez; rez.cnt=0; rez.cnt1=0; rez.cnt3=0; rez.cnt31=0; rez.isgood=1; rez.l = x.l; rez.r = y.r; if(s[x.r]=='1' && s[y.l]=='3') rez.isgood=0; if(s[x.r]=='1') { rez.cnt += (y.cnt - y.cnt3 + MOD)%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt1 += (y.cnt1 - y.cnt31 + MOD)%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; if(s[x.l]=='3') { rez.cnt3 += rez.cnt;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt31 += rez.cnt1;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; } } else { rez.cnt += y.cnt;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt1 += y.cnt1;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; if(s[x.l]=='3') { rez.cnt3 += rez.cnt;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt31 += rez.cnt1;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; } } rez.cnt += ((MOD + x.cnt - x.cnt1)%MOD * nr[y.r-y.l+1])%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt += (x.cnt1 * (nr[y.r-y.l+1] - nr[y.r-y.l]+MOD)%MOD)%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt1 += ((x.cnt - x.cnt1 + MOD)%MOD * nr[y.r-y.l])%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; if(y.r-y.l-1>=0) rez.cnt1 += (x.cnt1 * (MOD + nr[y.r-y.l] - nr[y.r-y.l-1])%MOD)%MOD; else rez.cnt1 += (x.cnt1 * nr[y.r-y.l])%MOD; rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt3 += ((x.cnt3 - x.cnt31+MOD)%MOD * nr[y.r-y.l+1])%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt3 += (x.cnt31 * (nr[y.r-y.l+1] - nr[y.r-y.l]+MOD)%MOD)%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt31 += ((x.cnt3 - x.cnt31+MOD)%MOD * nr[y.r-y.l])%MOD;rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; if(y.r-y.l-1>=0) rez.cnt31 += (x.cnt31 * (nr[y.r-y.l] - nr[y.r-y.l-1]+MOD)%MOD)%MOD; else rez.cnt31 += (x.cnt31 * nr[y.r-y.l])%MOD; rez.cnt%=MOD;rez.cnt1%=MOD;rez.cnt31%=MOD;rez.cnt3%=MOD; rez.cnt1 %= MOD; rez.cnt31 %= MOD; rez.cnt3 %= MOD; rez.cnt %= MOD; return rez; } node getnode(int cif, int poz) { node rez; rez.l = poz; rez.r = poz; rez.cnt = cif; if(cif>1) rez.cnt1 = 1; else rez.cnt1 = 0; if(cif>3) rez.cnt3 = 1; else rez.cnt3 = 0; rez.cnt31 = 0; rez.isgood = 1; return rez; } node aint[410005]; void build(int nod, int st, int dr) { if(st==dr) { aint[nod]=getnode(s[st]-'0',st); return; } int mij=(st+dr)/2; build(nod*2,st,mij); build(nod*2+1,mij+1,dr); aint[nod]=combine(aint[nod*2],aint[nod*2+1]); } void upd(int nod, int st, int dr, int poz, int cif) { if(st==dr) { aint[nod]=getnode(cif,st); return; } int mij=(st+dr)/2; if(poz<=mij) upd(nod*2,st,mij,poz,cif); else upd(nod*2+1,mij+1,dr,poz,cif); aint[nod]=combine(aint[nod*2],aint[nod*2+1]); } node qry(int nod, int st, int dr, int le, int ri) { if(le>ri) return emp; if(le==st && dr==ri) return aint[nod]; int mij=(st+dr)/2; return combine(qry(nod*2,st,mij,le,min(mij,ri)), qry(nod*2+1,mij+1,dr,max(mij+1,le),ri)); } signed main() { ios_base::sync_with_stdio(0);cin.tie(0); cin>>n>>cntq; calc_nr(); cin>>s; build(1,0,n-1); int tip,a,b; node aux; cout<<(aint[1].cnt + aint[1].isgood)%MOD<<"\n"; for(int i=0;i<cntq;i++) { cin>>tip>>a>>b; if(tip==1) { a--; b--; aux = qry(1,0,n-1,a,b); cout<<(aux.cnt + aux.isgood)%MOD<<"\n"; } else { a--; s[a]=b+'0'; upd(1,0,n-1,a,b); } } return 0; }
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