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
| #include<bits/stdc++.h> using namespace std; #ifdef LOCAL #define debug(...) fprintf(stdout, ##__VA_ARGS__) #define debag(...) fprintf(stderr, ##__VA_ARGS__) #else #define debug(...) void(0) #define debag(...) void(0) #endif #define int long long inline int read(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} #define Z(x) (x)*(x) #define pb push_back #define fi first #define se second
#define N 1000010 int n, m, i, j, k, T, ans;
struct Binary_tree { int cnt[N]; void add(int x, int y) { if(x == 0) return cnt[x] += y, void(); while(x < N) cnt[x] += y, x += x & -x; } int qry(int x) { int ans = cnt[0]; while(x) ans += cnt[x], x -= x & -x; return ans; } }Bin1, Bin2;
struct Segment_tree { #define ls (k << 1) #define rs (k << 1 | 1) #define mid ((l + r) >> 1) int tag[N << 2], s[N << 2]; void push_down(int k, int l, int r) { tag[ls] += tag[k]; tag[rs] += tag[k]; s[ls] += tag[k] * (mid - l + 1); s[rs] += tag[k] * (r - mid); assert(s[ls] + s[rs] == s[k]); tag[k] = 0; } void push_up(int k) { s[k] = s[ls] + s[rs]; } void add(int k, int l, int r, int x, int y, int v) { if(l >= x && r <= y) return tag[k] += v, s[k] += v * (r - l + 1), void(); push_down(k, l, r); if(x <= mid) add(ls, l, mid, x, y, v); if(y >= mid + 1) add(rs, mid + 1, r, x, y, v); push_up(k); } int qry(int k, int l, int r, int x, int y) { if(l >= x && r <= y) return s[k]; push_down(k, l, r); int ans = 0; if(x <= mid) ans += qry(ls, l, mid, x, y); if(y >= mid + 1) ans += qry(rs, mid + 1, r, x, y);
return ans; } }Seg;
struct Big_Binary_tree { void add(int x, int v) { Bin1.add(x, v); Bin2.add(x, v * x); } void add(int l, int r, int v) { l = max(2ll, l); debug("[%lld %lld] += %lld\n", l, r, v); Seg.add(1, 1, 2 * n, l, r, v);
} int qry(int x) { int s1 = Bin1.qry(x), s2 = Bin2.qry(x); return (x + 1) * s1 - s2; } int qry(int l, int r) { l = max(2ll, l);
return Seg.qry(1, 1, 2 * n, l, r);
} }Bin;
struct Trie_tree { int tot = 0; int w[N], son[N], f[N], top[N], cnt[N]; int dfn[N]; vector<int>G[N]; void add_edge(int x, int y, int c) { G[x].pb(y); f[y] = x; } void dfs1(int x) { w[x] = 1; for(int y : G[x]) { dfs1(y); w[x] += w[y]; if(w[y] > w[son[x]]) son[x] = y; } } void dfs2(int x, int Top) { top[x] = Top; dfn[x] = ++tot; debug("Pou %lld [%lld]\n", x, Top); if(son[x]) dfs2(son[x], Top); for(int y : G[x]) if(y != son[x]) dfs2(y, y); } void work() { dfs1(1); dfs2(1, 1); } void calc_add(int x, int v) { while(x) { int l = dfn[top[x]], r = dfn[x]; if(v == -1) Bin.add(l, r, v); ans += Bin.qry(l, r) * v; if(v == 1) Bin.add(l, r, v); x = f[top[x]]; } } void modify(int x) { calc_add(x, cnt[x] ? -1 : 1); cnt[x] ^= 1; } }Trie;
struct Sam { int i, j, k, tot, lst; int len[N], fail[N], nxt[N][6]; vector<int>G[N]; void init() { tot = lst = 1; } int ins(int x) { int u = ++tot, p, q, cq; p = lst; lst = u; len[u] = len[p] + 1; while(p && !nxt[p][x]) nxt[p][x] = u, p = fail[p]; if(!p) return fail[u] = 1, u; q = nxt[p][x]; if(len[p] + 1 == len[q]) fail[u] = q; else { cq = ++tot; fail[cq] = fail[q]; fail[q] = fail[u] = cq; len[cq] = len[p] + 1; memcpy(nxt[cq], nxt[q], sizeof(nxt[q])); while(p && nxt[p][x] == q) nxt[p][x] = cq, p = fail[p]; } return u; } int dep[N], f[N][22]; void dfs(int x, int fa) { dep[x] = dep[fa] + 1; for(int y : G[x]) dfs(y, x); } void work() { for(i = 1; i <= tot; ++i) { for(j = 1; j <= 4; ++j) { k = nxt[i][j]; if(k) debug("%lld --%c--> %lld\n", i, (char)(j + 'a' - 1), k); if(len[i] + 1 == len[k]) { Trie.add_edge(i, k, j); debug("%lld --> %lld\n", i, k); } } } for(i = 1; i <= tot; ++i) debug("%lld ", fail[i]); debug("\n"); for(i = 2; i <= tot; ++i) G[fail[i]].pb(i), f[i][0] = fail[i]; for(k = 1; k <= 20; ++k) for(i = 1; i <= tot; ++i) f[i][k] = f[f[i][k - 1]][k - 1]; dfs(1, 0); } int lca(int x, int y) { if(x == y) return x; if(dep[x] < dep[y]) swap(x, y); for(int k = 20; k >= 0; --k) if(dep[f[x][k]] >= dep[y]) x = f[x][k]; if(x == y) return x; for(int k = 20; k >= 0; --k) if(f[x][k] != f[y][k]) x = f[x][k], y = f[y][k]; return f[x][0]; }
}SAM;
char s[N]; int point[N];
signed main() { #ifdef LOCAL freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); #endif
scanf("%s", s + 1); n = strlen(s + 1); SAM.init(); for(i = 1; i <= n; ++i) point[i] = SAM.ins(s[i] - 'a' + 1); SAM.work(); Trie.work(); int Q = read(); while(Q--) { int x, y, z; x = read(); y = read(); z = SAM.lca(point[x], point[y]); debug("max(%lld %lld) = %lld\n", x, y, z); Trie.modify(z); printf("%lld\n", ans); } return 0; }
|