# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
734038 | GrindMachine | Relativnost (COCI15_relativnost) | C++17 | 1397 ms | 16228 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e4 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
const int K = 20;
template<typename T>
struct segtree1 {
// https://codeforces.com/blog/entry/18051
/*=======================================================*/
struct data {
int a[K];
data() {
memset(a, 0, sizeof a);
a[0] = 1;
}
};
data neutral = data();
data merge(data &left, data &right) {
data curr;
memset(curr.a, 0, sizeof curr.a);
rep(i, K) {
rep(j, K - i) {
curr.a[i + j] = (curr.a[i + j] + left.a[i] * right.a[j]) % MOD;
}
}
return curr;
}
void create(int i, T v) {
auto [x, y] = v;
tr[i].a[0] = y % MOD;
tr[i].a[1] = x % MOD;
}
void modify(int i, T v) {
auto [x, y] = v;
tr[i].a[0] = y % MOD;
tr[i].a[1] = x % MOD;
}
/*=======================================================*/
int n;
vector<data> tr;
segtree1() {
}
segtree1(int siz) {
init(siz);
}
void init(int siz) {
n = siz;
tr.assign(2 * n, neutral);
}
void build(vector<T> &a, int siz) {
rep(i, siz) create(i + n, a[i]);
rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
void pupd(int i, T v) {
modify(i + n, v);
for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
data query(int l, int r) {
data resl = neutral, resr = neutral;
for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
if (l & 1) resl = merge(resl, tr[l++]);
if (!(r & 1)) resr = merge(tr[r--], resr);
}
return merge(resl, resr);
}
};
template<typename T>
struct segtree2 {
// https://codeforces.com/blog/entry/18051
/*=======================================================*/
struct data {
int a;
};
data neutral = {1};
data merge(data &left, data &right) {
data curr;
curr.a = left.a * right.a % MOD;
return curr;
}
void create(int i, T v) {
tr[i].a = (v.ff + v.ss) % MOD;
}
void modify(int i, T v) {
tr[i].a = (v.ff + v.ss) % MOD;
}
/*=======================================================*/
int n;
vector<data> tr;
segtree2() {
}
segtree2(int siz) {
init(siz);
}
void init(int siz) {
n = siz;
tr.assign(2 * n, neutral);
}
void build(vector<T> &a, int siz) {
rep(i, siz) create(i + n, a[i]);
rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
void pupd(int i, T v) {
modify(i + n, v);
for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
data query(int l, int r) {
data resl = neutral, resr = neutral;
for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
if (l & 1) resl = merge(resl, tr[l++]);
if (!(r & 1)) resr = merge(tr[r--], resr);
}
return merge(resl, resr);
}
};
void solve(int test_case)
{
int n, k; cin >> n >> k;
vector<pii> a(n + 5);
rep1(i, n) cin >> a[i].ff;
rep1(i, n) cin >> a[i].ss;
segtree1<pii> st1(n + 5);
st1.build(a, n + 1);
segtree2<pii> st2(n + 5);
st2.build(a, n + 1);
int q; cin >> q;
while (q--) {
int i, x, y; cin >> i >> x >> y;
st1.pupd(i, {x, y});
st2.pupd(i, {x, y});
auto res = st1.query(1, n);
int ans = st2.query(1, n).a;
rep(j, k) {
ans = (ans - res.a[j] + MOD) % MOD;
}
cout << ans << endl;
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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