#ifdef DEBUG #define _GLIBCXX_DEBUG #endif //#pragma GCC optimize("O3") #include<bits/stdc++.h> using namespace std; #ifdef DEBUG #include "lib/debug.h" #else #define debug(...) 228 #endif #define pb push_back typedef long long ll; typedef long double ld; const int mod = 998'244'353; int sum(int a, int b) { int s = a + b; if (s >= mod) s -= mod; return s; } int sub(int a, int b) { int s = a - b; if (s < 0) s += mod; return s; } int mult(int a, int b) { return (1LL * a * b) % mod; } int n, q; const int maxN = 5e4 + 10; int val[4 * maxN]; int fi[4 * maxN][6]; int lst[4 * maxN][6]; int dp[4 * maxN][6][6]; int all[4 * maxN][7][7]; int calc() { int ans = sub(all[1][6][6], 1); for (int i = 0; i < 6; i++) { for (int j = 0; j < 6; j++) { ans = sub(ans, dp[1][i][j]); } } return ans; } const int INF = 1e9; void merge(int v) { for (int x = 0; x < 6; x++) { fi[v][x] = min(fi[2 * v][x], fi[2 * v + 1][x]); lst[v][x] = max(lst[2 * v][x], lst[2 * v + 1][x]); for (int y = 0; y < 6; y++) { dp[v][x][y] = 0; } } for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = 0; for (int z = 0; z < 7; z++) { all[v][x][y] = sum(all[v][x][y], mult(all[2 * v][x][z], all[2 * v + 1][z][y])); } } } for (int b = 0; b < 6; b++) { if (lst[2 * v][b] == -1) continue; for (int c = 0; c < 6; c++) { if (fi[2 * v + 1][c] == INF) continue; if (fi[2 * v + 1][b] < fi[2 * v + 1][c]) continue; if (lst[2 * v][c] > lst[2 * v][b]) continue; for (int a = 0; a < 6; a++) { for (int d = 0; d < 6; d++) { dp[v][a][d] = sum(dp[v][a][d], mult(dp[2 * v][a][b], dp[2 * v + 1][c][d])); } } } } for (int a = 0; a < 6; a++) { for (int b = 0; b < 6; b++) { if (lst[2 * v + 1][b] == -1) { dp[v][a][b] = sum(dp[v][a][b], dp[2 * v][a][b]); } if (fi[2 * v][a] == INF) { dp[v][a][b] = sum(dp[v][a][b], dp[2 * v + 1][a][b]); } } } } void build(int v, int tl, int tr) { if (tl == tr) { for (int z = 0; z < 6; z++) { fi[v][z] = INF; lst[v][z] = -1; for (int t = 0; t < 6; t++) { dp[v][z][t] = 0; } } fi[v][val[tl]] = tl; lst[v][val[tl]] = tl; dp[v][val[tl]][val[tl]] = 1; for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = (x == y); } } all[v][6][6] = 2; all[v][val[tl]][val[tl]] = 0; all[v][6][val[tl]] = 1; all[v][val[tl]][6] = mod - 1; return; } int tm = (tl + tr) / 2; build(2 * v, tl, tm); build(2 * v + 1, tm + 1, tr); merge(v); } void upd(int v, int tl, int tr, int pos) { if (tl == tr) { for (int z = 0; z < 6; z++) { fi[v][z] = INF; lst[v][z] = -1; for (int t = 0; t < 6; t++) { dp[v][z][t] = 0; } } fi[v][val[tl]] = tl; lst[v][val[tl]] = tl; dp[v][val[tl]][val[tl]] = 1; for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = (x == y); } } all[v][6][6] = 2; all[v][val[tl]][val[tl]] = 0; all[v][6][val[tl]] = 1; all[v][val[tl]][6] = mod - 1; return; } int tm = (tl + tr) / 2; if (pos <= tm) upd(2 * v, tl, tm, pos); else upd(2 * v + 1, tm + 1, tr, pos); merge(v); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); auto start = std::chrono::high_resolution_clock::now(); #ifdef DEBUG freopen("input.txt", "r", stdin); #endif cin >> n >> q; for (int i = 0; i < n; i++) { char c; cin >> c; val[i] = c - 'a'; } build(1, 0, n - 1); cout << calc() << '\n'; while (q--) { int pos; char c; cin >> pos; cin >> c; --pos; val[pos] = c - 'a'; upd(1, 0, n - 1, pos); cout << calc() << '\n'; } auto end = std::chrono::high_resolution_clock::now(); std::cerr << "Execution Time: " << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << std::endl; return 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 | #ifdef DEBUG #define _GLIBCXX_DEBUG #endif //#pragma GCC optimize("O3") #include<bits/stdc++.h> using namespace std; #ifdef DEBUG #include "lib/debug.h" #else #define debug(...) 228 #endif #define pb push_back typedef long long ll; typedef long double ld; const int mod = 998'244'353; int sum(int a, int b) { int s = a + b; if (s >= mod) s -= mod; return s; } int sub(int a, int b) { int s = a - b; if (s < 0) s += mod; return s; } int mult(int a, int b) { return (1LL * a * b) % mod; } int n, q; const int maxN = 5e4 + 10; int val[4 * maxN]; int fi[4 * maxN][6]; int lst[4 * maxN][6]; int dp[4 * maxN][6][6]; int all[4 * maxN][7][7]; int calc() { int ans = sub(all[1][6][6], 1); for (int i = 0; i < 6; i++) { for (int j = 0; j < 6; j++) { ans = sub(ans, dp[1][i][j]); } } return ans; } const int INF = 1e9; void merge(int v) { for (int x = 0; x < 6; x++) { fi[v][x] = min(fi[2 * v][x], fi[2 * v + 1][x]); lst[v][x] = max(lst[2 * v][x], lst[2 * v + 1][x]); for (int y = 0; y < 6; y++) { dp[v][x][y] = 0; } } for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = 0; for (int z = 0; z < 7; z++) { all[v][x][y] = sum(all[v][x][y], mult(all[2 * v][x][z], all[2 * v + 1][z][y])); } } } for (int b = 0; b < 6; b++) { if (lst[2 * v][b] == -1) continue; for (int c = 0; c < 6; c++) { if (fi[2 * v + 1][c] == INF) continue; if (fi[2 * v + 1][b] < fi[2 * v + 1][c]) continue; if (lst[2 * v][c] > lst[2 * v][b]) continue; for (int a = 0; a < 6; a++) { for (int d = 0; d < 6; d++) { dp[v][a][d] = sum(dp[v][a][d], mult(dp[2 * v][a][b], dp[2 * v + 1][c][d])); } } } } for (int a = 0; a < 6; a++) { for (int b = 0; b < 6; b++) { if (lst[2 * v + 1][b] == -1) { dp[v][a][b] = sum(dp[v][a][b], dp[2 * v][a][b]); } if (fi[2 * v][a] == INF) { dp[v][a][b] = sum(dp[v][a][b], dp[2 * v + 1][a][b]); } } } } void build(int v, int tl, int tr) { if (tl == tr) { for (int z = 0; z < 6; z++) { fi[v][z] = INF; lst[v][z] = -1; for (int t = 0; t < 6; t++) { dp[v][z][t] = 0; } } fi[v][val[tl]] = tl; lst[v][val[tl]] = tl; dp[v][val[tl]][val[tl]] = 1; for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = (x == y); } } all[v][6][6] = 2; all[v][val[tl]][val[tl]] = 0; all[v][6][val[tl]] = 1; all[v][val[tl]][6] = mod - 1; return; } int tm = (tl + tr) / 2; build(2 * v, tl, tm); build(2 * v + 1, tm + 1, tr); merge(v); } void upd(int v, int tl, int tr, int pos) { if (tl == tr) { for (int z = 0; z < 6; z++) { fi[v][z] = INF; lst[v][z] = -1; for (int t = 0; t < 6; t++) { dp[v][z][t] = 0; } } fi[v][val[tl]] = tl; lst[v][val[tl]] = tl; dp[v][val[tl]][val[tl]] = 1; for (int x = 0; x < 7; x++) { for (int y = 0; y < 7; y++) { all[v][x][y] = (x == y); } } all[v][6][6] = 2; all[v][val[tl]][val[tl]] = 0; all[v][6][val[tl]] = 1; all[v][val[tl]][6] = mod - 1; return; } int tm = (tl + tr) / 2; if (pos <= tm) upd(2 * v, tl, tm, pos); else upd(2 * v + 1, tm + 1, tr, pos); merge(v); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); auto start = std::chrono::high_resolution_clock::now(); #ifdef DEBUG freopen("input.txt", "r", stdin); #endif cin >> n >> q; for (int i = 0; i < n; i++) { char c; cin >> c; val[i] = c - 'a'; } build(1, 0, n - 1); cout << calc() << '\n'; while (q--) { int pos; char c; cin >> pos; cin >> c; --pos; val[pos] = c - 'a'; upd(1, 0, n - 1, pos); cout << calc() << '\n'; } auto end = std::chrono::high_resolution_clock::now(); std::cerr << "Execution Time: " << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << std::endl; return 0; } |