#include <cstdio> #include <set> using namespace std; typedef long long ll; //#define MAX 8 #define MAX 65536 char a[MAX]; int sa[6]; int n,q; #define N 998244353 template<int MMAX> struct Matrix { ll a[MMAX][MMAX] = {}; void zero() { for(int i=0;i<MMAX;i++) for(int j=0;j<MMAX;j++) a[i][j]=0; } void one() { zero(); for(int i=0;i<MMAX;i++) a[i][i]=1; } void setRow(int row, int v[MMAX]) { for(int i=0;i<MMAX;i++) a[row][i]=v[i]; } void oneAndCol(int col, int v[]) { one(); for(int i=0;i<MMAX;i++) a[i][col]=v[i]; } void oneAndCol2(int col, ll v) { one(); for(int i=0;i<MMAX;i++) a[i][col]=(v>>(i))&1; } void mul(const Matrix &x, const Matrix &y) { for (int i = 0; i < MMAX; i++) { for (int j = 0; j < MMAX; j++) { a[i][j] = 0; } } for (int k = 0; k < MMAX; k++) { for (int j = 0; j < MMAX; j++) { for (int i = 0; i < MMAX; i++) { a[i][j] = (a[i][j] + x.a[i][k] * y.a[k][j])%N; } } } } void print() { for(int i=0;i<MMAX;i++) { for(int j=0;j<MMAX;j++) { printf("%lld ",a[i][j]); } printf("\n"); } } }; Matrix<7> perm[2*MAX]; Matrix<7> permOp[6]; Matrix<6> count1[2*MAX]; #define D2(x) #define D1(x) #define D11(x) ll calcPerm() { int ones7[] = {1,1,1,1,1,1,1}; int ones6[] = {1,1,1,1,1,1,0}; for(int i=0;i<6;i++) permOp[i].oneAndCol(i, ones7); perm[MAX].a[0][6] = 1; for(int i=1;i<=n;i++) perm[MAX+i] = permOp[a[i]]; perm[MAX+n+1].oneAndCol(0,ones6); for(int i=n+2;i<MAX;i++) perm[MAX+i].one(); for(int i=MAX-1;i>0;i--) perm[i].mul(perm[2*i], perm[2*i+1]); D2(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); perm[i].print(); }) D2(printf("resP: %lld\n", perm[1].a[0][0])); return perm[1].a[0][0]; } const ll found_mask[6] = { 0b000001000001000001000001000001000001, 0b000010000010000010000010000010000010, 0b000100000100000100000100000100000100, 0b001000001000001000001000001000001000, 0b010000010000010000010000010000010000, 0b100000100000100000100000100000100000 }; const ll found_mask2[6] = { 0b111111111111111111111111111111000000, 0b111111111111111111111111000000111111, 0b111111111111111111000000111111111111, 0b111111111111000000111111111111111111, 0b111111000000111111111111111111111111, 0b000000111111111111111111111111111111}; #define D12(x) set<int> uuu; void updateCount1(int pos) { { int fpos[6] = {}; ll mask_init = 0b111111111111111111111111111111111111, mask; ll found1=0, found2=0, foundP; for(int c=0;c<6;c++) if(sa[c]<=0) mask_init &= found_mask2[c]; mask = mask_init; for(int p = pos-1; p>0 && mask ;p--) { found1|=(found_mask[a[p]]) & mask; mask &= found_mask2[a[p]]; } mask = mask_init; for(int p = pos+1; p<=n && mask;p++) { int c = a[p]; found2|=(found_mask[c]) & mask; mask &= found_mask2[c]; if (!fpos[c]) fpos[c] = p; } foundP = found_mask[a[pos]]; D12( printf("mask_init: %llu\n", mask_init); for(int c=0;c<6;c++) printf("char: %c p:%d found1: %llu found2: %llu\n", 'a'+c, fpos[c], found1, found2); ) { for(int c=0;c<6;c++) { if (c == a[pos]) continue; int p = fpos[c]; if(p>0 && p <= n) { ll fc = ((found1 | foundP | found2) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } } } { int c = a[pos]; int p = pos; ll fc = ((found1 | foundP) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } { int c = a[pos]; int p = fpos[c]; if (p > 0 && p<=n) { ll fc = ((foundP | found2) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } } while(!uuu.empty()) { auto it = std::prev(uuu.end()); int i = *it; uuu.erase(it); count1[i].mul(count1[2*i], count1[2*i+1]); if (i/2 > 0) uuu.insert(i/2); } } D11(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); count1[i].print(); }) } ll calcCount1() { int ones6[] = {1,1,1,1,1,1}; count1[MAX].setRow(0, ones6); ll last[6] = {1,1,1,1,1,1}, found = 0, found_all=0; for(int i=1;i<=n;i++) { int c = a[i]; found |= found_mask[c]; ll fc = (found >> (c*6)) & 0b111111; count1[MAX+i].oneAndCol2(c, fc); found = found & found_mask2[c]; } for(int i=n+1;i<MAX;i++) count1[MAX+i].one(); for(int i=MAX-1;i>0;i--) count1[i].mul(count1[2*i], count1[2*i+1]); ll res = 0; for(int i=0;i<6;i++) res += (sa[i]>0?count1[1].a[0][i]: 0); res = res %N; D1(printf("res: %lld\n", res);) D1(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); count1[i].print(); }) return res; } ll getCalc() { ll res = perm[1].a[0][0], res2 = 0; for(int i=0;i<6;i++) res2 += (sa[i]>0?count1[1].a[0][i]: 0); return (res +N - (res2%N))%N; } ll calc() { calcPerm(); calcCount1(); return getCalc(); } int main() { scanf("%d %d",&n,&q); scanf(" %s", a+1); for(int i=1;i<=n;i++) a[i]-='a'; for(int i=1;i<=n;i++) sa[a[i]]++; printf("%lld\n", calc()); for(int i=0;i<q;i++) { int pos; char c; scanf("%d %c", &pos, &c); if (c -'a' != a[pos]) { sa[a[pos]]--; a[pos] = c-'a'; sa[a[pos]]++; perm[MAX+pos] = permOp[a[pos]]; for(int i=(MAX+pos)/2;i>0;i/=2) perm[i].mul(perm[2*i], perm[2*i+1]); updateCount1(pos); //calcCount1(); } printf("%lld\n", getCalc()); } }
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 | #include <cstdio> #include <set> using namespace std; typedef long long ll; //#define MAX 8 #define MAX 65536 char a[MAX]; int sa[6]; int n,q; #define N 998244353 template<int MMAX> struct Matrix { ll a[MMAX][MMAX] = {}; void zero() { for(int i=0;i<MMAX;i++) for(int j=0;j<MMAX;j++) a[i][j]=0; } void one() { zero(); for(int i=0;i<MMAX;i++) a[i][i]=1; } void setRow(int row, int v[MMAX]) { for(int i=0;i<MMAX;i++) a[row][i]=v[i]; } void oneAndCol(int col, int v[]) { one(); for(int i=0;i<MMAX;i++) a[i][col]=v[i]; } void oneAndCol2(int col, ll v) { one(); for(int i=0;i<MMAX;i++) a[i][col]=(v>>(i))&1; } void mul(const Matrix &x, const Matrix &y) { for (int i = 0; i < MMAX; i++) { for (int j = 0; j < MMAX; j++) { a[i][j] = 0; } } for (int k = 0; k < MMAX; k++) { for (int j = 0; j < MMAX; j++) { for (int i = 0; i < MMAX; i++) { a[i][j] = (a[i][j] + x.a[i][k] * y.a[k][j])%N; } } } } void print() { for(int i=0;i<MMAX;i++) { for(int j=0;j<MMAX;j++) { printf("%lld ",a[i][j]); } printf("\n"); } } }; Matrix<7> perm[2*MAX]; Matrix<7> permOp[6]; Matrix<6> count1[2*MAX]; #define D2(x) #define D1(x) #define D11(x) ll calcPerm() { int ones7[] = {1,1,1,1,1,1,1}; int ones6[] = {1,1,1,1,1,1,0}; for(int i=0;i<6;i++) permOp[i].oneAndCol(i, ones7); perm[MAX].a[0][6] = 1; for(int i=1;i<=n;i++) perm[MAX+i] = permOp[a[i]]; perm[MAX+n+1].oneAndCol(0,ones6); for(int i=n+2;i<MAX;i++) perm[MAX+i].one(); for(int i=MAX-1;i>0;i--) perm[i].mul(perm[2*i], perm[2*i+1]); D2(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); perm[i].print(); }) D2(printf("resP: %lld\n", perm[1].a[0][0])); return perm[1].a[0][0]; } const ll found_mask[6] = { 0b000001000001000001000001000001000001, 0b000010000010000010000010000010000010, 0b000100000100000100000100000100000100, 0b001000001000001000001000001000001000, 0b010000010000010000010000010000010000, 0b100000100000100000100000100000100000 }; const ll found_mask2[6] = { 0b111111111111111111111111111111000000, 0b111111111111111111111111000000111111, 0b111111111111111111000000111111111111, 0b111111111111000000111111111111111111, 0b111111000000111111111111111111111111, 0b000000111111111111111111111111111111}; #define D12(x) set<int> uuu; void updateCount1(int pos) { { int fpos[6] = {}; ll mask_init = 0b111111111111111111111111111111111111, mask; ll found1=0, found2=0, foundP; for(int c=0;c<6;c++) if(sa[c]<=0) mask_init &= found_mask2[c]; mask = mask_init; for(int p = pos-1; p>0 && mask ;p--) { found1|=(found_mask[a[p]]) & mask; mask &= found_mask2[a[p]]; } mask = mask_init; for(int p = pos+1; p<=n && mask;p++) { int c = a[p]; found2|=(found_mask[c]) & mask; mask &= found_mask2[c]; if (!fpos[c]) fpos[c] = p; } foundP = found_mask[a[pos]]; D12( printf("mask_init: %llu\n", mask_init); for(int c=0;c<6;c++) printf("char: %c p:%d found1: %llu found2: %llu\n", 'a'+c, fpos[c], found1, found2); ) { for(int c=0;c<6;c++) { if (c == a[pos]) continue; int p = fpos[c]; if(p>0 && p <= n) { ll fc = ((found1 | foundP | found2) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } } } { int c = a[pos]; int p = pos; ll fc = ((found1 | foundP) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } { int c = a[pos]; int p = fpos[c]; if (p > 0 && p<=n) { ll fc = ((foundP | found2) >> (c*6)) & 0b111111; count1[MAX+p].oneAndCol2(c, fc); uuu.insert((MAX+p)/2); } } while(!uuu.empty()) { auto it = std::prev(uuu.end()); int i = *it; uuu.erase(it); count1[i].mul(count1[2*i], count1[2*i+1]); if (i/2 > 0) uuu.insert(i/2); } } D11(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); count1[i].print(); }) } ll calcCount1() { int ones6[] = {1,1,1,1,1,1}; count1[MAX].setRow(0, ones6); ll last[6] = {1,1,1,1,1,1}, found = 0, found_all=0; for(int i=1;i<=n;i++) { int c = a[i]; found |= found_mask[c]; ll fc = (found >> (c*6)) & 0b111111; count1[MAX+i].oneAndCol2(c, fc); found = found & found_mask2[c]; } for(int i=n+1;i<MAX;i++) count1[MAX+i].one(); for(int i=MAX-1;i>0;i--) count1[i].mul(count1[2*i], count1[2*i+1]); ll res = 0; for(int i=0;i<6;i++) res += (sa[i]>0?count1[1].a[0][i]: 0); res = res %N; D1(printf("res: %lld\n", res);) D1(for(int i=0;i<2*MAX;i++) { printf("%d <-----\n",i); count1[i].print(); }) return res; } ll getCalc() { ll res = perm[1].a[0][0], res2 = 0; for(int i=0;i<6;i++) res2 += (sa[i]>0?count1[1].a[0][i]: 0); return (res +N - (res2%N))%N; } ll calc() { calcPerm(); calcCount1(); return getCalc(); } int main() { scanf("%d %d",&n,&q); scanf(" %s", a+1); for(int i=1;i<=n;i++) a[i]-='a'; for(int i=1;i<=n;i++) sa[a[i]]++; printf("%lld\n", calc()); for(int i=0;i<q;i++) { int pos; char c; scanf("%d %c", &pos, &c); if (c -'a' != a[pos]) { sa[a[pos]]--; a[pos] = c-'a'; sa[a[pos]]++; perm[MAX+pos] = permOp[a[pos]]; for(int i=(MAX+pos)/2;i>0;i/=2) perm[i].mul(perm[2*i], perm[2*i+1]); updateCount1(pos); //calcCount1(); } printf("%lld\n", getCalc()); } } |