#include <iostream>
#define ll long long
using namespace std;
const ll N = 10005;
ll n, m, mod;
ll num[N];
ll sum[N * 4];
ll tag1[N * 4];//multiply
ll tag2[N * 4];//plus
ll lc(ll p) {
return p << 1;
}
ll rc(ll p) {
return p << 1 | 1;
}
void PushUp(ll p) {
sum[p] = ((sum[lc(p)] % mod) + (sum[rc(p)] % mod)) % mod;
}
void Build(ll p, ll l, ll r) {
tag1[p] = 1;
tag2[p] = 0;
if (l == r) {
sum[p] += (num[l] % mod);
return;
}
ll mid = (l + r) >> 1;
Build(lc(p), l, mid);
Build(rc(p), mid + 1, r);
PushUp(p);
}
void moveTag_Mu(ll p, ll l, ll r, ll t) {
sum[p] += ((t % mod) * ((r - l + 1) % mod)) % mod;
tag2[p] *= (tag2[p] % mod) * (t % mod);
}
void moveTag_Plus(ll p, ll l, ll r, ll t) {
sum[p] += ((t % mod) * ((r - l + 1) % mod)) % mod;
tag2[p] += t;
}
void PushDown(ll p, ll l, ll r) {
ll mid = (l + r) >> 1;
moveTag_Mu(p, l, mid, tag1[p]);
moveTag_Mu(p, mid + 1, r, tag1[p]);
moveTag_Plus(p, l, mid, tag2[p]);
moveTag_Plus(p, mid + 1, r, tag2[p]);
tag1[p] = 1;
tag2[p] = 0;
}
void Multiply(ll p, ll l, ll r, ll ql, ll qr, ll t) {
if (ql <= l && qr >= r) {
sum[p] += ((t%mod) * ((r - l + 1)%mod)) % mod;
tag1[p] = (tag1[p] % mod) * (t % mod);
return;
}
PushDown(p, l, r);
ll mid = (l + r) >> 1;
if (ql <= mid) {
Multiply(lc(p), l, mid, ql, qr, t*t);
}
if (qr >= mid + 1) {
Multiply(rc(p), mid + 1, r, ql, qr, t*t);
}
PushUp(p);
}
void Plus(ll p, ll l, ll r, ll ql, ll qr, ll t) {
if (ql <= l && qr >= r) {
sum[p] += ((t % mod) * ((r - l + 1) % mod)) % mod;
tag2[p] += t % mod;
return;
}
PushDown(p, l, r);
ll mid = (l + r) / 2;
if (ql <= mid) {
Plus(lc(p), l, mid, ql, qr, t);
}
if (qr >= mid + 1) {
Plus(rc(p), mid + 1, r, ql, qr, t);
}
PushUp(p);
}
ll query(ll p, ll l, ll r, ll ql, ll qr) {
if (ql <= l && qr >= r) {
return sum[p];
}
PushDown(p, l, r);
ll mid = (l + r) >> 1;
ll s = 0;
if (ql <= mid) {
s += query(lc(p), l, mid, ql, qr);
}
if (qr >= mid + 1) {
s += query(rc(p), mid + 1, r, ql, qr);
}
return s;
}
int main() {
cin >> n >> m >> mod;
for (int i = 1; i <= n; i++) {
cin >> num[i];
}
Build(1, 1, n);
for (int i = 1; i <= m; i++) {
ll ss;
cin >> ss;
if (ss == 1) {
ll x, y, k;
cin >> x >> y >> k;
Multiply(1, 1, n, x, y, k);
}
else if (ss == 2) {
ll x, y, k;
cin >> x >> y >> k;
Plus(1, 1, n, x, y, k);
}
else if (ss == 3) {
ll x, y;
cin >> x >> y;
ll ans=query(1, 1, n, x, y);
cout << ans % mod << endl;
}
}
return 0;
}
我刚学线段树,对该算法理解不深,恳请各位大佬耐心指教。