#include <bits/stdc++.h>
using namespace std;
#define fwd(i, a, n) for (int i = (a); i < (n); i++)
#define rep(i, n) fwd(i, 0, n)
#define all(X) X.begin(), X.end()
#define sz(X) int(size(X))
#define pb push_back
#define eb emplace_back
#define st first
#define nd second
using pii = pair<int, int>; using vi = vector<int>;
using ll = long long; using ld = long double;
#ifdef LOC
#pragma GCC diagnostic ignored "-Wclass-memaccess"
auto SS = signal(6, [](int) { *(int *)0 = 0; });
#define DTP(x, y) auto operator<<(auto &o, auto a) -> decltype(y, o) { o << "("; x; return o << ")"; }
auto operator<<(auto &o, auto a) -> decltype(all(a), o);
DTP(o << a.st << ", " << a.nd, a.nd);
DTP(for (auto i : a) o << i << ", ", all(a));
#define deb(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", [](auto... arg_) { (( cerr << arg_ << ", " ), ...) << '\n'; }(x)
#else
#define deb(...) 0
#endif
const int P = 998244353, phiP = P - 1;
struct mint {
int x = 0;
mint operator+(mint o) const {return {x + o.x >= P ? x + o.x - P : x + o.x}; }
mint operator-(mint o) const {return {x < o.x ? x - o.x + P : x - o.x}; }
mint operator+() const {return *this; }
mint operator-() const {return {x ? P - x : 0}; }
mint operator*(mint o) const {return {int(ll(x) * o.x % P)}; }
mint operator/(mint o) const {return *this * o.inv(); }
mint & operator+=(mint o) {return *this = *this + o; }
mint & operator-=(mint o) {return *this = *this - o; }
mint & operator*=(mint o) {return *this = *this * o; }
mint & operator/=(mint o) {return *this = *this / o; }
mint pow(ll e) const {
mint ret{1}, b(*this);
for (; e; e >>= 1) {
if (e & 1)
ret *= b;
b *= b;
}
return ret;
}
mint inv() const {return pow(phiP - 1); }
static mint fromLL(ll x) {
x %= P;
if (x < 0) x += P;
return mint{(int)x};
}
};
auto &operator<<(auto &os, mint m) {
return os << m.x;
}
template <int n>
using matrice = array<array<mint, n>, n>;
void mulAdd(ll &ref, mint a, mint b) {
if (ref < 0)
ref += ll(a.x) * b.x;
else
ref += ll(a.x) * (b.x - P);
}
template <int n>
void matMul(const matrice<n> &x, const matrice<n> &y, matrice<n> &out) {
// memset(&out, 0, sizeof out);
array<array<ll, n>, n> tmp{};
rep(i, n) rep(j, n) rep(k, n)
mulAdd(tmp[i][k], x[i][j], y[j][k]);
// out[i][k] += x[i][j] * y[j][k];
rep(i, n) rep(j, n)
out[i][j] = mint::fromLL(tmp[i][j]);
}
const int A = 6;
void connectMatrice(const array<int, A> &revord_a, const array<int, A> &ord_b,
const matrice<A> &mat_a, const matrice<A> &mat_b, matrice<A> &mat) {
// memset(&mat, 0, sizeof mat);
array<array<ll, A>, A> tmp{};
rep(i, A) rep(j, A) {
if (ord_b[j] == -1) {
tmp[i][j] += mat_a[i][j].x;
// mat[i][j] += mat_a[i][j];
}
if (revord_a[i] == -1) {
tmp[i][j] += mat_b[i][j].x;
// mat[i][j] += mat_b[i][j];
}
}
rep(j, A) rep(k, A) rep(i, A) rep(l, A) {
if (ord_b[j] != -1 && ord_b[j] < ord_b[k])
continue;
if (revord_a[k] != -1 && revord_a[k] < revord_a[j])
continue;
mulAdd(tmp[i][l], mat_a[i][j], mat_b[k][l]);
// mat[i][l] += mat_a[i][j] * mat_b[k][l];
}
rep(i, A) rep(j, A)
mat[i][j] = mint::fromLL(tmp[i][j]);
}
void forLetter(char ch, array<int, A> &ord, array<int, A> &revord, matrice<A> &single, matrice<A + 1> &total) {
memset(&ord, -1, sizeof ord);
memset(&revord, -1, sizeof revord);
memset(&single, 0, sizeof single);
memset(&total, 0, sizeof total);
int id = ch - 'a';
ord[id] = revord[id] = 0;
single[id][id].x = 1;
rep(i, sz(total)) {
total[i][i].x = 1;
total[id][i].x = 1;
}
}
void connectOrders(const array<int, A> &x, const array<int, A> &y, array<int, A> &ret) {
array<int, A> when{};
memset(&when, -1, sizeof when);
int nextInX = A;
ret = x;
rep(i, A) {
if (x[i] != -1) continue;
nextInX--;
if (y[i] == -1) continue;
when[y[i]] = i;
}
for (int i : when) {
if (i == -1) continue;
ret[i] = nextInX++;
}
}
struct DS {
int n = 1;
vector<array<int, A>> ords, revords;
vector<matrice<A>> singles;
vector<matrice<A + 1>> totals;
DS(const string &s) {
while (n < sz(s)) n *= 2;
ords.resize(2 * n);
revords.resize(2 * n);
singles.resize(2 * n);
totals.resize(2 * n);
n = sz(s);
init(s, 1, 0, n - 1);
}
void pull(int node) {
connectOrders(ords[node * 2], ords[node * 2 + 1], ords[node]);
connectOrders(revords[node * 2 + 1], revords[node * 2], revords[node]);
connectMatrice(revords[node * 2], ords[node * 2 + 1], singles[node * 2], singles[node * 2 + 1], singles[node]);
matMul<A + 1>(totals[2 * node + 1], totals[2 * node], totals[node]);
}
void init(const string &s, int node, int nl, int nr) {
if (nl == nr) {
forLetter(s[nl], ords[node], revords[node], singles[node], totals[node]);
return;
}
int mid = (nl + nr) / 2;
init(s, node * 2, nl, mid);
init(s, node * 2 + 1, mid + 1, nr);
pull(node);
}
void setLetter(int pos, char ch, int node = 1, int nl = 0, int nr = -1) {
if (nr == -1) nr = n - 1;
if (nl == nr) {
assert(pos == nl);
forLetter(ch, ords[node], revords[node], singles[node], totals[node]);
return;
}
int mid = (nl + nr) / 2;
if (pos <= mid) setLetter(pos, ch, node * 2, nl, mid);
else setLetter(pos, ch, node * 2 + 1, mid + 1, nr);
pull(node);
}
mint countSingles() {
mint ans;
for (auto &ref : singles[1]) for (mint m : ref)
ans += m;
return ans;
}
mint countAll() {
mint ans;
rep(i, A)
ans += totals[1][i][A];
return ans;
}
};
pii brute(string word) {
int countSingles = 0, countAll = 0;
map<string, int> mapka;
fwd(msk, 1, 1 << sz(word)) {
string here;
rep(i, sz(word)) if (msk & (1 << i))
here.pb(word[i]);
mapka[here]++;
}
countAll = sz(mapka);
for (auto &[_, c] : mapka)
countSingles += c == 1;
return {countAll, countSingles};
}
void solve() {
int n, q;
string s;
cin >> n >> q >> s;
DS ds(s);
auto query = [&]() {
mint alls = ds.countAll();
mint singles = ds.countSingles();
mint ans = alls - singles;
cout << ans.x << '\n';
#ifdef LOC
// if (n <= 15) {
// auto [brAll, brSingle] = brute(s);
// if (brSingle != singles.x || brAll != alls.x) {
// deb(brAll, brSingle, alls, singles);
// exit(-1);
// }
// }
#endif
};
query();
rep(_, q) {
int pos;
char ch;
cin >> pos >> ch;
--pos;
s[pos] = ch;
ds.setLetter(pos, ch);
query();
}
}
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
cout << fixed << setprecision(10);
// mt19937_64 rnd(chrono::high_resolution_clock().now().time_since_epoch().count());
// const int n = 75000, q = 75000;
// string s(n, 'a');
// for (char &ch : s) ch = char('a' + rnd() % A);
// DS ds(s);
// rep(_, q)
// ds.setLetter(rnd() % n, char('a' + rnd() % A));
solve();
cout << flush;
_Exit(0);
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 | #include <bits/stdc++.h> using namespace std; #define fwd(i, a, n) for (int i = (a); i < (n); i++) #define rep(i, n) fwd(i, 0, n) #define all(X) X.begin(), X.end() #define sz(X) int(size(X)) #define pb push_back #define eb emplace_back #define st first #define nd second using pii = pair<int, int>; using vi = vector<int>; using ll = long long; using ld = long double; #ifdef LOC #pragma GCC diagnostic ignored "-Wclass-memaccess" auto SS = signal(6, [](int) { *(int *)0 = 0; }); #define DTP(x, y) auto operator<<(auto &o, auto a) -> decltype(y, o) { o << "("; x; return o << ")"; } auto operator<<(auto &o, auto a) -> decltype(all(a), o); DTP(o << a.st << ", " << a.nd, a.nd); DTP(for (auto i : a) o << i << ", ", all(a)); #define deb(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", [](auto... arg_) { (( cerr << arg_ << ", " ), ...) << '\n'; }(x) #else #define deb(...) 0 #endif const int P = 998244353, phiP = P - 1; struct mint { int x = 0; mint operator+(mint o) const {return {x + o.x >= P ? x + o.x - P : x + o.x}; } mint operator-(mint o) const {return {x < o.x ? x - o.x + P : x - o.x}; } mint operator+() const {return *this; } mint operator-() const {return {x ? P - x : 0}; } mint operator*(mint o) const {return {int(ll(x) * o.x % P)}; } mint operator/(mint o) const {return *this * o.inv(); } mint & operator+=(mint o) {return *this = *this + o; } mint & operator-=(mint o) {return *this = *this - o; } mint & operator*=(mint o) {return *this = *this * o; } mint & operator/=(mint o) {return *this = *this / o; } mint pow(ll e) const { mint ret{1}, b(*this); for (; e; e >>= 1) { if (e & 1) ret *= b; b *= b; } return ret; } mint inv() const {return pow(phiP - 1); } static mint fromLL(ll x) { x %= P; if (x < 0) x += P; return mint{(int)x}; } }; auto &operator<<(auto &os, mint m) { return os << m.x; } template <int n> using matrice = array<array<mint, n>, n>; void mulAdd(ll &ref, mint a, mint b) { if (ref < 0) ref += ll(a.x) * b.x; else ref += ll(a.x) * (b.x - P); } template <int n> void matMul(const matrice<n> &x, const matrice<n> &y, matrice<n> &out) { // memset(&out, 0, sizeof out); array<array<ll, n>, n> tmp{}; rep(i, n) rep(j, n) rep(k, n) mulAdd(tmp[i][k], x[i][j], y[j][k]); // out[i][k] += x[i][j] * y[j][k]; rep(i, n) rep(j, n) out[i][j] = mint::fromLL(tmp[i][j]); } const int A = 6; void connectMatrice(const array<int, A> &revord_a, const array<int, A> &ord_b, const matrice<A> &mat_a, const matrice<A> &mat_b, matrice<A> &mat) { // memset(&mat, 0, sizeof mat); array<array<ll, A>, A> tmp{}; rep(i, A) rep(j, A) { if (ord_b[j] == -1) { tmp[i][j] += mat_a[i][j].x; // mat[i][j] += mat_a[i][j]; } if (revord_a[i] == -1) { tmp[i][j] += mat_b[i][j].x; // mat[i][j] += mat_b[i][j]; } } rep(j, A) rep(k, A) rep(i, A) rep(l, A) { if (ord_b[j] != -1 && ord_b[j] < ord_b[k]) continue; if (revord_a[k] != -1 && revord_a[k] < revord_a[j]) continue; mulAdd(tmp[i][l], mat_a[i][j], mat_b[k][l]); // mat[i][l] += mat_a[i][j] * mat_b[k][l]; } rep(i, A) rep(j, A) mat[i][j] = mint::fromLL(tmp[i][j]); } void forLetter(char ch, array<int, A> &ord, array<int, A> &revord, matrice<A> &single, matrice<A + 1> &total) { memset(&ord, -1, sizeof ord); memset(&revord, -1, sizeof revord); memset(&single, 0, sizeof single); memset(&total, 0, sizeof total); int id = ch - 'a'; ord[id] = revord[id] = 0; single[id][id].x = 1; rep(i, sz(total)) { total[i][i].x = 1; total[id][i].x = 1; } } void connectOrders(const array<int, A> &x, const array<int, A> &y, array<int, A> &ret) { array<int, A> when{}; memset(&when, -1, sizeof when); int nextInX = A; ret = x; rep(i, A) { if (x[i] != -1) continue; nextInX--; if (y[i] == -1) continue; when[y[i]] = i; } for (int i : when) { if (i == -1) continue; ret[i] = nextInX++; } } struct DS { int n = 1; vector<array<int, A>> ords, revords; vector<matrice<A>> singles; vector<matrice<A + 1>> totals; DS(const string &s) { while (n < sz(s)) n *= 2; ords.resize(2 * n); revords.resize(2 * n); singles.resize(2 * n); totals.resize(2 * n); n = sz(s); init(s, 1, 0, n - 1); } void pull(int node) { connectOrders(ords[node * 2], ords[node * 2 + 1], ords[node]); connectOrders(revords[node * 2 + 1], revords[node * 2], revords[node]); connectMatrice(revords[node * 2], ords[node * 2 + 1], singles[node * 2], singles[node * 2 + 1], singles[node]); matMul<A + 1>(totals[2 * node + 1], totals[2 * node], totals[node]); } void init(const string &s, int node, int nl, int nr) { if (nl == nr) { forLetter(s[nl], ords[node], revords[node], singles[node], totals[node]); return; } int mid = (nl + nr) / 2; init(s, node * 2, nl, mid); init(s, node * 2 + 1, mid + 1, nr); pull(node); } void setLetter(int pos, char ch, int node = 1, int nl = 0, int nr = -1) { if (nr == -1) nr = n - 1; if (nl == nr) { assert(pos == nl); forLetter(ch, ords[node], revords[node], singles[node], totals[node]); return; } int mid = (nl + nr) / 2; if (pos <= mid) setLetter(pos, ch, node * 2, nl, mid); else setLetter(pos, ch, node * 2 + 1, mid + 1, nr); pull(node); } mint countSingles() { mint ans; for (auto &ref : singles[1]) for (mint m : ref) ans += m; return ans; } mint countAll() { mint ans; rep(i, A) ans += totals[1][i][A]; return ans; } }; pii brute(string word) { int countSingles = 0, countAll = 0; map<string, int> mapka; fwd(msk, 1, 1 << sz(word)) { string here; rep(i, sz(word)) if (msk & (1 << i)) here.pb(word[i]); mapka[here]++; } countAll = sz(mapka); for (auto &[_, c] : mapka) countSingles += c == 1; return {countAll, countSingles}; } void solve() { int n, q; string s; cin >> n >> q >> s; DS ds(s); auto query = [&]() { mint alls = ds.countAll(); mint singles = ds.countSingles(); mint ans = alls - singles; cout << ans.x << '\n'; #ifdef LOC // if (n <= 15) { // auto [brAll, brSingle] = brute(s); // if (brSingle != singles.x || brAll != alls.x) { // deb(brAll, brSingle, alls, singles); // exit(-1); // } // } #endif }; query(); rep(_, q) { int pos; char ch; cin >> pos >> ch; --pos; s[pos] = ch; ds.setLetter(pos, ch); query(); } } int32_t main() { cin.tie(0)->sync_with_stdio(0); cout << fixed << setprecision(10); // mt19937_64 rnd(chrono::high_resolution_clock().now().time_since_epoch().count()); // const int n = 75000, q = 75000; // string s(n, 'a'); // for (char &ch : s) ch = char('a' + rnd() % A); // DS ds(s); // rep(_, q) // ds.setLetter(rnd() % n, char('a' + rnd() % A)); solve(); cout << flush; _Exit(0); } |
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