Zengtudor/alg2025
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Zengtudor 2025-07-30 17:00:47 +08:00
parent 5b1e8bdc14
commit 5505498421
3 changed files with 129 additions and 66 deletions
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2
src/7/30/U134267.cpp
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@ -84,7 +84,7 @@ int main() {
} }
ll ans = (e1 + emax) % MOD; ll ans = (e1 + emax) % MOD;
cout << ((ans^1)|ans) << endl; cout << ans << endl;
return 0; return 0;
} }

100
src/7/30/U281313.cpp
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@ -1,26 +1,23 @@
#include <cstdint>
#include <iostream> #include <iostream>
#include <vector>
#include <unordered_map> #include <unordered_map>
using namespace std; using namespace std;
using ll = int64_t; using ll = long long;
static inline constexpr ll MOD = 1e9+7;
static inline constexpr ll fpow(ll b, ll e, ll mod) { constexpr inline static ll mod = 1e9+7;
constexpr inline static ll fpow(ll base, ll exp, ll m) {
base %= m;
ll res = 1; ll res = 1;
b %= mod; while (exp) {
while (e) { if (exp & 1) res = (res * base) % m;
if (e & 1) base = (base * base) % m;
res = (res * b) % mod; exp >>= 1;
b = (b * b) % mod;
e >>= 1;
} }
return res; return res;
} }
int main() { int main() {
ios_base::sync_with_stdio(false); ios::sync_with_stdio(false);
cin.tie(nullptr); cin.tie(nullptr);
int T; int T;
cin >> T; cin >> T;
@ -28,69 +25,38 @@ int main() {
string s; string s;
ll p; ll p;
cin >> s >> p; cin >> s >> p;
int n = s.size(); ll n = s.size();
if (n == 0) { if (n == 0) {
cout << "1\n"; cout << "1\n";
continue; continue;
} }
ll inv10 = fpow(10, p-2, p);
unordered_map<ll, ll> cnt, cnt1;
cnt[0] = 1;
cnt1[0] = 1;
ll total = 1;
ll h = 0;
ll cur_inv = 1;
ll ans = 0;
vector<ll> p10(n+1); for (int i = 0; i < n; i++) {
p10[0] = 1; ll d = s[i] - '0';
for (int i = 1; i <= n; i++) { cur_inv = (cur_inv * inv10) % p;
p10[i] = (p10[i-1] * 10) % p; h = (h + d * cur_inv) % p;
// if (h < 0) h += p;
ll dp1_cur = cnt[h];
ll dp0_cur = (total - cnt1[h] + mod) % mod;
if (i == n-1) {
ans = (dp0_cur + dp1_cur) % mod;
} }
ll inv10b = fpow(10, p-2, p); cnt[h] = (cnt[h] + dp0_cur + dp1_cur) % mod;
cnt1[h] = (cnt1[h] + dp1_cur) % mod;
vector<ll> inv10(n+1); total = (total + dp1_cur) % mod;
inv10[0] = 1;
for (int i = 1; i <= n; i++) {
inv10[i] = (inv10[i-1] * inv10b) % p;
} }
vector<ll> pre(n+1, 0);
for (int i = 1; i <= n; i++) {
pre[i] = (pre[i-1] * 10 + (s[i-1] - '0')) % p;
}
vector<ll> val(n+1);
for (int i = 0; i <= n; i++) {
val[i] = pre[i] * inv10[i] % p; //
if (val[i] < 0) val[i] += p;
}
unordered_map<ll, pair<ll, ll>> dic;
ll tot1 = 1;
dic[val[0]] = make_pair(1, 1);
ll ndp0 = 0, ndp1 = 0;
for (int i = 1; i <= n; i++) {
ll v = val[i];
ll s01 = 0, s1 = 0;
auto it = dic.find(v);
if (it != dic.end()) {
s01 = it->second.first;
s1 = it->second.second;
}
ndp1 = s01 % MOD;
ndp0 = (tot1 - s1) % MOD;
if (ndp0 < 0)
ndp0 += MOD;
tot1 = (tot1 + ndp1) % MOD;
ll add01 = (ndp0 + ndp1) % MOD;
ll add1 = ndp1 % MOD;
if (dic.find(v) != dic.end()) {
dic[v].first = (dic[v].first + add01) % MOD;
dic[v].second = (dic[v].second + add1) % MOD;
} else {
dic[v] = make_pair(add01, add1);
}
}
ll ans = (ndp0 + ndp1) % MOD;
cout << ans << '\n'; cout << ans << '\n';
} }
return 0; return 0;

97
src/7/30/U281313d.cpp Normal file
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@ -0,0 +1,97 @@
#include <cstdint>
#include <iostream>
#include <vector>
#include <unordered_map>
using namespace std;
using ll = int64_t;
static inline constexpr ll MOD = 1e9+7;
static inline constexpr ll fpow(ll b, ll e, ll mod) {
ll res = 1;
b %= mod;
while (e) {
if (e & 1)
res = (res * b) % mod;
b = (b * b) % mod;
e >>= 1;
}
return res;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int T;
cin >> T;
while (T--) {
string s;
ll p;
cin >> s >> p;
int n = s.size();
if (n == 0) {
cout << "1\n";
continue;
}
vector<ll> p10(n+1);
p10[0] = 1;
for (int i = 1; i <= n; i++) {
p10[i] = (p10[i-1] * 10) % p;
}
ll inv10b = fpow(10, p-2, p);
vector<ll> inv10(n+1);
inv10[0] = 1;
for (int i = 1; i <= n; i++) {
inv10[i] = (inv10[i-1] * inv10b) % p;
}
vector<ll> pre(n+1, 0);
for (int i = 1; i <= n; i++) {
pre[i] = (pre[i-1] * 10 + (s[i-1] - '0')) % p;
}
vector<ll> val(n+1);
for (int i = 0; i <= n; i++) {
val[i] = pre[i] * inv10[i] % p; //
if (val[i] < 0) val[i] += p;
}
unordered_map<ll, pair<ll, ll>> dic;
ll tot1 = 1;
dic[val[0]] = make_pair(1, 1);
ll ndp0 = 0, ndp1 = 0;
for (int i = 1; i <= n; i++) {
ll v = val[i];
ll s01 = 0, s1 = 0;
auto it = dic.find(v);
if (it != dic.end()) {
s01 = it->second.first;
s1 = it->second.second;
}
ndp1 = s01 % MOD;
ndp0 = (tot1 - s1) % MOD;
if (ndp0 < 0)
ndp0 += MOD;
tot1 = (tot1 + ndp1) % MOD;
ll add01 = (ndp0 + ndp1) % MOD;
ll add1 = ndp1 % MOD;
if (dic.find(v) != dic.end()) {
dic[v].first = (dic[v].first + add01) % MOD;
dic[v].second = (dic[v].second + add1) % MOD;
} else {
dic[v] = make_pair(add01, add1);
}
}
ll ans = (ndp0 + ndp1) % MOD;
cout << ans << '\n';
}
return 0;
}