This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef long double ld;
template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;}
template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;}
ll readint(){
ll x=0,f=1; char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
return x*f;
}
int q,l,k;
int t[500005],x[500005],a[500005];
ll b[1500005][2],sum,dp[12000005][2][2][2],lzy[12000005][2];
vector<int> xs;
void pull(int id){
for(int x=0;x<2;x++) for(int y=0;y<2;y++) for(int c=0;c<2;c++) dp[id][c][x][y]=max(dp[id<<1][c][x][y],dp[id<<1|1][c][x][y]);
for(int x1=0;x1<2;x1++){
for(int y2=0;y2<2;y2++){
for(int c1=0;c1<2;c1++){
for(int c2=0;c2<2;c2++){
dp[id][min(1,c1+c2)][x1][y2]=max(dp[id][min(1,c1+c2)][x1][y2],dp[id<<1][c1][x1][0]+dp[id<<1|1][c2][1][y2]);
dp[id][min(1,c1+c2)][x1][y2]=max(dp[id][min(1,c1+c2)][x1][y2],dp[id<<1][c1][x1][1]+dp[id<<1|1][c2][0][y2]);
}
}
}
}
}
void upd1(int id,ll v){
for(int c=0;c<2;c++){
dp[id][c][0][0]-=v;
dp[id][c][1][1]+=v;
}
}
void upd2(int id,ll v){
for(int x=0;x<2;x++){
for(int y=0;y<2;y++){
dp[id][1][x][y]-=v;
}
}
}
void push(int id){
if((id<<1|1)>6000000) return;
if(lzy[id][0]!=0){
upd1(id<<1,lzy[id][0]);
upd1(id<<1|1,lzy[id][0]);
lzy[id<<1][0]+=lzy[id][0];
lzy[id<<1|1][0]+=lzy[id][0];
lzy[id][0]=0;
}
if(lzy[id][1]!=0){
upd2(id<<1,lzy[id][1]);
upd2(id<<1|1,lzy[id][1]);
lzy[id<<1][1]+=lzy[id][1];
lzy[id<<1|1][1]+=lzy[id][1];
lzy[id][1]=0;
}
}
void build(int id,int l,int r){
if(l==r){
for(int x=0;x<2;x++){
for(int y=0;y<2;y++){
for(int c=0;c<2;c++){
dp[id][c][x][y]=(ll)-1e18;
}
}
}
dp[id][0][0][0]=0;
dp[id][1][1][1]=0;
return;
}
int mid=(l+r)/2;
build(id<<1,l,mid);
build(id<<1|1,mid+1,r);
pull(id);
}
void change(int id,int l,int r,int ql,int qr,int v){
if(ql<=l&&r<=qr){
upd1(id,v);
lzy[id][0]+=v;
push(id);
return;
}
push(id);
int mid=(l+r)/2;
if(qr<=mid) change(id<<1,l,mid,ql,qr,v);
else if(ql>mid) change(id<<1|1,mid+1,r,ql,qr,v);
else change(id<<1,l,mid,ql,qr,v),change(id<<1|1,mid+1,r,ql,qr,v);
pull(id);
}
void modify(int id,int l,int r,int ql,int qr,int v){
if(ql<=l&&r<=qr){
upd2(id,v);
lzy[id][1]+=v;
push(id);
return;
}
push(id);
int mid=(l+r)/2;
if(qr<=mid) modify(id<<1,l,mid,ql,qr,v);
else if(ql>mid) modify(id<<1|1,mid+1,r,ql,qr,v);
else modify(id<<1,l,mid,ql,qr,v),modify(id<<1|1,mid+1,r,ql,qr,v);
pull(id);
}
int main(){
q=readint(); l=readint();
for(int i=1;i<=q;i++){
t[i]=readint(); x[i]=readint(); a[i]=readint();
}
for(int i=1;i<=q;i++){
xs.pb(x[i]);
xs.pb(x[i]-l);
xs.pb(x[i]+l);
}
xs.pb((int)-1.00001e9);
sort(xs.begin(),xs.end());
xs.erase(unique(xs.begin(),xs.end()),xs.end());
k=(int)xs.size();
build(1,0,k-1);
for(int i=1;i<=q;i++){
if(t[i]==1){
int idx=(int)(lower_bound(xs.begin(),xs.end(),x[i])-xs.begin());
change(1,0,k-1,idx,k-1,a[i]);
sum+=a[i];
}else{
int idx1=(int)(lower_bound(xs.begin(),xs.end(),x[i]+l)-xs.begin());
change(1,0,k-1,idx1,k-1,-a[i]);
int idx2=(int)(lower_bound(xs.begin(),xs.end(),x[i]-l)-xs.begin());
modify(1,0,k-1,idx2,idx1-1,a[i]);
}
ll mx=0;
for(int c=0;c<2;c++){
chkmax(mx,dp[1][c][0][1]);
}
printf("%lld\n",sum-mx);
}
return 0;
}
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