//Konrad Paluszek,University of Warsaw(former XIV LO Staszic) //#STAY AT HOME #ifndef LOCAL #pragma GCC optimize("O3") #endif #define TIME (chrono::steady_clock::now().time_since_epoch().count()) #include<bits/stdc++.h> #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> #define xfm(a,b)a##b #define xwb(a,b)xfm(a,b) #define _ xwb(nvj,__LINE__) #define __ xwb(kjy,__LINE__) #define ___ xwb(cjm,__LINE__) #define REP(i,n)for(urs(n)i=0;i<(n);++i) #define PER(r...)for(bool _=1;_||next_permutation(r);_=false) #define FS(r)r.first,r.second #define ALL(r)(r).begin(),(r).end() #define M0(r) memset(r,0,sizeof(r)) #define sim template<class c #define forbits(i,m)if(m)for(urs(m)i=ctz(m),i##nvj=m;i##nvj;i##nvj^=((urs(m))1<<i),i=i##nvj?ctz(i##nvj):0) #define fordbits(i,m)if(m)for(urs(m)i=8*sizeof(m)-clz(m)-1,i##nxd=m;i##nxd;i##nxd^=((urs(m))1<<i),i=i##nxd?8*sizeof(m)-clz(i##nxd)-1:0) #define ksets(t, m, k, n)for(t m=(((t)1<<(k))-1);m<((t)1<<(n));m=nux(m)) #define urs(r...)typename decay<decltype(r)>::type #define hur(f,g)sim>int f(c a){if(sizeof(c)==8)return g##ll(a);return g(a);} using namespace __gnu_pbds;using namespace std;using ll=long long;using ld=long double;using ull=unsigned long long;using vi=vector<int>;using vll=vector<ll>;using pii=pair<int,int>;using pll=pair<ll,ll>;using vpii=vector<pii>;using unt=unsigned int;sim>using min_queue=priority_queue<c,vector<c>,greater<>>;sim,class b,class cmp=less<c>>using ordered_map=tree<c,b,cmp,rb_tree_tag,tree_order_statistics_node_update>;sim,class cmp=less<c>>using ordered_set=ordered_map<c,null_type,cmp>;hur(popc,__builtin_popcount)hur(ctz,__builtin_ctz)hur(clz,__builtin_clz)sim,class N>bool mini(c&o,const N&h){if(o>h)return o=h,1;return 0;}sim,class N>bool maxi(c&o,const N&h){if(o<h)return o=h,1;return 0;} #ifdef LOCAL #include </home/konrad/cp/headers/debuglib.hpp> #else #define loc(...) #define onl(r...)r #define debug(...) #define print_stack(...) #define mark_stack(...) #define set_pre(...) #define reg_it(...) #define def_op(...) struct _{}; #define mask_set(...) #define exit my_exit void __resources(); void my_exit(int x) {cout.flush(); #ifdef LOCAL2 __resources(); #endif _Exit(x);} #endif #define next nexT #define prev preV #define tree trEE #define left lefT #define right righT #define div diV #define y1 y_1 #define pow don't' ull mix(ull o){o+=0x9e3779b97f4a7c15;o=(o^(o>>30))*0xbf58476d1ce4e5b9;o=(o^(o>>27))*0x94d049bb133111eb;return o^(o>>31);}ull SALT=0x7a14a4b0881ebf9,tqu=0x7a14a4b0881ebf9;ull my_rand(){return tqu=mix(tqu);}void my_srand(ull x){SALT=tqu=x;}const int inf=1023400000;const ll llinf=1234567890000000000ll;ll fix(ll o, ll m){o%=m;if(o<0)o+=m;return o;} #define rand my_rand #define srand my_srand #define random_shuffle(r...)random_shuffle(r,[](int _){return my_rand()%_;}) sim>inline c nux(c m){if(!m)return numeric_limits<c>::max();c A=m&-m;c B=~((A-1)^m);c C=B&-B;c D=(C>>(1+ctz(A)))-1;return C|(m&~(C-1))|D;}sim>void unq(c&x){x.resize(unique(ALL(x))-x.begin());} //#STAY AT HOME const int mod = 1e9 + 7; void solve() { int n, q; string curr; cin >> n >> q >> curr; vector <array<ll, 3> > subsets(n + 1); subsets[0][0] = 1; for (int i = 1; i <= n; ++i) REP(rem, 3) REP(take, 2) { (subsets[i][(rem + take) % 3] += subsets[i - 1][rem]) %= mod; } debug(dump(subsets, 0, n + 1, 0, 3)); int cs = 0, zs = 0, ns = 0; int a1_off = 0, a2_off = 0; auto touch = [&](int id, char x, int dir) { if (x == 'C') { cs += dir; (id % 2 ? a1_off : a2_off) += dir; } else if (x == 'Z') { zs += dir; (id % 2 ? a2_off : a1_off) += dir; } else if (x == 'N') { ns += dir; } else { debug(imie(x)); assert(false); } }; auto calc = [&]() { assert(cs + zs + ns == n); int curr_off = (cs - zs); ll ans = 0; debug(imie(cs), imie(zs), imie(ns), imie(a1_off), imie(a2_off), imie(curr)); REP(i, 3) { int would_off = (curr_off + i - (ns - i)) % 3; debug(imie(i), imie(would_off), arr(subsets, ns, i)); if (would_off) ans += subsets[ns][i]; } if (n % 2 && n > 1) { if (a1_off == 0) ans--; if (a2_off == 0) ans--; } return fix(ans, mod); }; REP(i, n) touch(i, curr[i], 1); cout << calc() << "\n"; REP(_, q) { int i; char x; cin >> i >> x; i--; touch(i, curr[i], -1); curr[i] = x; touch(i, curr[i], +1); cout << calc() << "\n"; } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); // unt seed = TIME; debug(imie(seed));srand(seed); int t = 1; // scanf("%d", &t); REP(_, t) solve(); exit(0); } //#STAY AT HOME
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 | //Konrad Paluszek,University of Warsaw(former XIV LO Staszic) //#STAY AT HOME #ifndef LOCAL #pragma GCC optimize("O3") #endif #define TIME (chrono::steady_clock::now().time_since_epoch().count()) #include<bits/stdc++.h> #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> #define xfm(a,b)a##b #define xwb(a,b)xfm(a,b) #define _ xwb(nvj,__LINE__) #define __ xwb(kjy,__LINE__) #define ___ xwb(cjm,__LINE__) #define REP(i,n)for(urs(n)i=0;i<(n);++i) #define PER(r...)for(bool _=1;_||next_permutation(r);_=false) #define FS(r)r.first,r.second #define ALL(r)(r).begin(),(r).end() #define M0(r) memset(r,0,sizeof(r)) #define sim template<class c #define forbits(i,m)if(m)for(urs(m)i=ctz(m),i##nvj=m;i##nvj;i##nvj^=((urs(m))1<<i),i=i##nvj?ctz(i##nvj):0) #define fordbits(i,m)if(m)for(urs(m)i=8*sizeof(m)-clz(m)-1,i##nxd=m;i##nxd;i##nxd^=((urs(m))1<<i),i=i##nxd?8*sizeof(m)-clz(i##nxd)-1:0) #define ksets(t, m, k, n)for(t m=(((t)1<<(k))-1);m<((t)1<<(n));m=nux(m)) #define urs(r...)typename decay<decltype(r)>::type #define hur(f,g)sim>int f(c a){if(sizeof(c)==8)return g##ll(a);return g(a);} using namespace __gnu_pbds;using namespace std;using ll=long long;using ld=long double;using ull=unsigned long long;using vi=vector<int>;using vll=vector<ll>;using pii=pair<int,int>;using pll=pair<ll,ll>;using vpii=vector<pii>;using unt=unsigned int;sim>using min_queue=priority_queue<c,vector<c>,greater<>>;sim,class b,class cmp=less<c>>using ordered_map=tree<c,b,cmp,rb_tree_tag,tree_order_statistics_node_update>;sim,class cmp=less<c>>using ordered_set=ordered_map<c,null_type,cmp>;hur(popc,__builtin_popcount)hur(ctz,__builtin_ctz)hur(clz,__builtin_clz)sim,class N>bool mini(c&o,const N&h){if(o>h)return o=h,1;return 0;}sim,class N>bool maxi(c&o,const N&h){if(o<h)return o=h,1;return 0;} #ifdef LOCAL #include </home/konrad/cp/headers/debuglib.hpp> #else #define loc(...) #define onl(r...)r #define debug(...) #define print_stack(...) #define mark_stack(...) #define set_pre(...) #define reg_it(...) #define def_op(...) struct _{}; #define mask_set(...) #define exit my_exit void __resources(); void my_exit(int x) {cout.flush(); #ifdef LOCAL2 __resources(); #endif _Exit(x);} #endif #define next nexT #define prev preV #define tree trEE #define left lefT #define right righT #define div diV #define y1 y_1 #define pow don't' ull mix(ull o){o+=0x9e3779b97f4a7c15;o=(o^(o>>30))*0xbf58476d1ce4e5b9;o=(o^(o>>27))*0x94d049bb133111eb;return o^(o>>31);}ull SALT=0x7a14a4b0881ebf9,tqu=0x7a14a4b0881ebf9;ull my_rand(){return tqu=mix(tqu);}void my_srand(ull x){SALT=tqu=x;}const int inf=1023400000;const ll llinf=1234567890000000000ll;ll fix(ll o, ll m){o%=m;if(o<0)o+=m;return o;} #define rand my_rand #define srand my_srand #define random_shuffle(r...)random_shuffle(r,[](int _){return my_rand()%_;}) sim>inline c nux(c m){if(!m)return numeric_limits<c>::max();c A=m&-m;c B=~((A-1)^m);c C=B&-B;c D=(C>>(1+ctz(A)))-1;return C|(m&~(C-1))|D;}sim>void unq(c&x){x.resize(unique(ALL(x))-x.begin());} //#STAY AT HOME const int mod = 1e9 + 7; void solve() { int n, q; string curr; cin >> n >> q >> curr; vector <array<ll, 3> > subsets(n + 1); subsets[0][0] = 1; for (int i = 1; i <= n; ++i) REP(rem, 3) REP(take, 2) { (subsets[i][(rem + take) % 3] += subsets[i - 1][rem]) %= mod; } debug(dump(subsets, 0, n + 1, 0, 3)); int cs = 0, zs = 0, ns = 0; int a1_off = 0, a2_off = 0; auto touch = [&](int id, char x, int dir) { if (x == 'C') { cs += dir; (id % 2 ? a1_off : a2_off) += dir; } else if (x == 'Z') { zs += dir; (id % 2 ? a2_off : a1_off) += dir; } else if (x == 'N') { ns += dir; } else { debug(imie(x)); assert(false); } }; auto calc = [&]() { assert(cs + zs + ns == n); int curr_off = (cs - zs); ll ans = 0; debug(imie(cs), imie(zs), imie(ns), imie(a1_off), imie(a2_off), imie(curr)); REP(i, 3) { int would_off = (curr_off + i - (ns - i)) % 3; debug(imie(i), imie(would_off), arr(subsets, ns, i)); if (would_off) ans += subsets[ns][i]; } if (n % 2 && n > 1) { if (a1_off == 0) ans--; if (a2_off == 0) ans--; } return fix(ans, mod); }; REP(i, n) touch(i, curr[i], 1); cout << calc() << "\n"; REP(_, q) { int i; char x; cin >> i >> x; i--; touch(i, curr[i], -1); curr[i] = x; touch(i, curr[i], +1); cout << calc() << "\n"; } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); // unt seed = TIME; debug(imie(seed));srand(seed); int t = 1; // scanf("%d", &t); REP(_, t) solve(); exit(0); } //#STAY AT HOME |