题解 技术情报局
题意即为每个区间的最大值要乘两次
所以放到笛卡尔树上,合并信息的时候根节点的值乘两次即可
Code:
#include <bits/stdc++.h>
using namespace std;
#define INF 0x3f3f3f3f
#define N 10000010
#define ll long long
#define fir first
#define sec second
#define make make_pair
//#define int long long
char buf[1<<21], *p1=buf, *p2=buf;
inline int read() {
int ans=0, f=1; char c=getchar();
while (!isdigit(c)) {if (c=='-') f=-f; c=getchar();}
while (isdigit(c)) {ans=(ans<<3)+(ans<<1)+(c^48); c=getchar();}
return ans*f;
}
ll a[N];
namespace GenHelper {
unsigned z1, z2, z3, z4, b;
unsigned rand_() {
b = ((z1 << 6) ^ z1) >> 13;
z1 = ((z1 & 4294967294U) << 18) ^ b;
b = ((z2 << 2) ^ z2) >> 27;
z2 = ((z2 & 4294967288U) << 2) ^ b;
b = ((z3 << 13) ^ z3) >> 21;
z3 = ((z3 & 4294967280U) << 7) ^ b;
b = ((z4 << 3) ^ z4) >> 12;
z4 = ((z4 & 4294967168U) << 13) ^ b;
return (z1 ^ z2 ^ z3 ^ z4);
}
} // namespace GenHelper
void get (int n, unsigned s, int l, int r) {
using namespace GenHelper;
z1 = s;
z2 = unsigned((~s) ^ 0x233333333U);
z3 = unsigned(s ^ 0x1234598766U);
z4 = (~s) + 51;
for (int i = 1; i <= n; i ++) {
int x = rand_() & 32767;
int y = rand_() & 32767;
a[i] = l + (x * 32768 + y) % (r - l + 1);
}
}
int n, s, l, r;
ll mod;
namespace force{
ll ans;
ll calc(int l, int r) {
ll ans=1, maxn=0;
for (int i=l; i<=r; ++i) {
ans=ans*a[i]%mod;
maxn=max(maxn, a[i]);
}
return ans*maxn%mod;
}
void solve() {
for (int i=1; i<=n; ++i) for (int j=i; j<=n; ++j) ans=(ans+calc(i, j))%mod;
printf("%lld\n", ans);
exit(0);
}
}
namespace task1{
int ls[N], rs[N], top;
pair<int, int> sta[N];
ll tl[N], tr[N], prod[N], ans;
void dfs(int u) {
ans=(ans+a[u]*a[u])%mod;
if (ls[u]&&rs[u]) {
dfs(ls[u]); dfs(rs[u]);
ans=(ans+tl[ls[u]]*a[u]%mod*tr[rs[u]]%mod*a[u]%mod)%mod;
ans=(ans+tl[ls[u]]*a[u]%mod*a[u]%mod)%mod;
ans=(ans+a[u]*tr[rs[u]]%mod*a[u]%mod)%mod;
tl[u]=(tl[ls[u]]*a[u]%mod*prod[rs[u]]%mod + a[u]*prod[rs[u]]%mod + tl[rs[u]])%mod;
tr[u]=(tr[ls[u]] + prod[ls[u]]*a[u]%mod + prod[ls[u]]*a[u]%mod*tr[rs[u]]%mod)%mod;
prod[u]=prod[ls[u]]*a[u]%mod*prod[rs[u]]%mod;
}
else if (ls[u]) {
dfs(ls[u]);
ans=(ans+tl[ls[u]]*a[u]%mod*a[u]%mod)%mod;
tl[u]=(tl[ls[u]]*a[u]%mod + a[u])%mod;
tr[u]=(tr[ls[u]] + prod[ls[u]]*a[u]%mod)%mod;
prod[u]=prod[ls[u]]*a[u]%mod;
}
else if (rs[u]) {
dfs(rs[u]);
ans=(ans+a[u]*tr[rs[u]]%mod*a[u]%mod)%mod;
tl[u]=(a[u]*prod[rs[u]]%mod + tl[rs[u]])%mod;
tr[u]=(a[u] + a[u]%mod*tr[rs[u]]%mod)%mod;
prod[u]=a[u]*prod[rs[u]]%mod;
}
else {
tl[u]=tr[u]=prod[u]=a[u];
}
}
void solve() {
// cout<<double(sizeof(a)*4+sizeof(ls)*2+sizeof(sta))/1024/1024<<endl;
for (int i=1; i<=n; ++i) {
int k=top;
while (k && sta[k].sec<a[i]) --k;
if (k) rs[sta[k].fir]=i;
if (k<top) ls[i]=sta[k+1].fir;
sta[++k]=make(i, a[i]);
top=k;
}
dfs(sta[1].fir);
printf("%lld\n", ans);
exit(0);
}
}
signed main()
{
freopen("tio.in", "r", stdin);
freopen("tio.out", "w", stdout);
n=read(); s=read(); l=read(); r=read(); mod=read();
get(n, s, l, r);
// cout<<"a: "; for (int i=1; i<=n; ++i) cout<<a[i]<<' '; cout<<endl;
// force::solve();
task1::solve();
return 0;
}