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- #include <iostream>
- #include <cmath>
- #include <vector>
- using namespace std;
- long long mod;
- typedef long long ll;
- long long addMod(long long a, long long b){
- a += b;
- if(a >= mod)
- a -= mod;
- return a;
- }
- long long op(long long a, long long b){
- long long res = 0;
- a %= mod;
- while(b){
- if(b & 1LL) {
- res = addMod(res, a);
- }
- a = addMod(a, a);
- b /= 2;
- }
- return res;
- }
- inline int log2Up(int n) {
- int res = 0;
- while ((1 << res) < n) {
- res++;
- }
- return res;
- }
- class SqrtTree {
- private:
- int n, lg;
- vector<long long> v;
- vector<int> clz;
- vector<int> layers;
- vector<int> onLayer;
- vector< vector<long long> > pref;
- vector< vector<long long> > suf;
- vector< vector<long long> > between;
- void build(int layer, int lBound, int rBound) {
- if (layer >= (int)layers.size()) {
- return;
- }
- int bSzLog = (layers[layer]+1) >> 1;
- int bCntLog = layers[layer] >> 1;
- int bSz = 1 << bSzLog;
- int bCnt = 0;
- for (int l = lBound; l < rBound; l += bSz) {
- bCnt++;
- int r = min(l + bSz, rBound);
- pref[layer][l] = v[l];
- for (int i = l+1; i < r; i++) {
- pref[layer][i] = op(pref[layer][i-1], v[i]);
- }
- suf[layer][r-1] = v[r-1];
- for (int i = r-2; i >= l; i--) {
- suf[layer][i] = op(v[i], suf[layer][i+1]);
- }
- build(layer+1, l, r);
- }
- for (int i = 0; i < bCnt; i++) {
- long long ans = 0;
- for (int j = i; j < bCnt; j++) {
- long long add = suf[layer][lBound + (j << bSzLog)];
- ans = (i == j) ? add : op(ans, add);
- between[layer][lBound + (i << bCntLog) + j] = ans;
- }
- }
- }
- public:
- inline long long query(int l, int r) {
- if (l == r) {
- return v[l];
- }
- if (l + 1 == r) {
- return op(v[l], v[r]);
- }
- int layer = onLayer[clz[l ^ r]];
- int bSzLog = (layers[layer]+1) >> 1;
- int bCntLog = layers[layer] >> 1;
- int lBound = (l >> layers[layer]) << layers[layer];
- int lBlock = ((l - lBound) >> bSzLog) + 1;
- int rBlock = ((r - lBound) >> bSzLog) - 1;
- long long ans = suf[layer][l];
- if (lBlock <= rBlock) {
- ans = op(ans, between[layer][lBound + (lBlock << bCntLog) + rBlock]);
- }
- ans = op(ans, pref[layer][r]);
- return ans;
- }
- SqrtTree(const vector<long long>& v)
- : n((int)v.size()), lg(log2Up(n)), v(v), clz(1 << lg), onLayer(lg+1) {
- clz[0] = 0;
- for (int i = 1; i < (int)clz.size(); i++) {
- clz[i] = clz[i >> 1] + 1;
- }
- int tlg = lg;
- while (tlg > 1) {
- onLayer[tlg] = (int)layers.size();
- layers.push_back(tlg);
- tlg = (tlg+1) >> 1;
- }
- for (int i = lg-1; i >= 0; i--) {
- onLayer[i] = max(onLayer[i], onLayer[i+1]);
- }
- pref.assign(layers.size(), vector<long long>(n));
- suf.assign(layers.size(), vector<long long>(n));
- between.assign(layers.size(), vector<long long>((int)(1 << lg)));
- build(0, 0, n);
- }
- };
- unsigned s;
- unsigned getNext(){
- s ^= (s << 13);
- s ^= (s >> 17);
- s ^= (s << 5);
- return s;
- }
- int n;
- int main() {
- #ifdef LOCAL
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif // LOCAL
- unsigned m, seed ;
- cin >> n >> m >> mod >> seed;
- s = seed;
- vector<ll> a(n);
- for(int i = 0; i < n; i++){
- a[i] = getNext();
- }
- SqrtTree st = SqrtTree(a);
- long long ans = 0;
- unsigned left = 0;
- unsigned right = 0;
- for(unsigned i = 0; i < m; i++){
- left = getNext() % n;
- right = getNext() % n;
- if(left > right) swap(left, right);
- long long result = st.query(left, right) % mod;
- ans = (ans + result) % mod;
- }
- cout << ans;
- return 0;
- }
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