結果

問題 No.844 split game
ユーザー vwxyzvwxyz
提出日時 2022-10-26 12:30:32
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 608 ms / 2,000 ms
コード長 22,369 bytes
コンパイル時間 482 ms
コンパイル使用メモリ 87,224 KB
実行使用メモリ 113,564 KB
最終ジャッジ日時 2023-09-17 05:42:42
合計ジャッジ時間 25,995 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 379 ms
97,380 KB
testcase_01 AC 411 ms
104,640 KB
testcase_02 AC 455 ms
102,900 KB
testcase_03 AC 457 ms
106,528 KB
testcase_04 AC 383 ms
96,328 KB
testcase_05 AC 569 ms
107,584 KB
testcase_06 AC 384 ms
96,152 KB
testcase_07 AC 403 ms
98,564 KB
testcase_08 AC 391 ms
93,056 KB
testcase_09 AC 428 ms
97,816 KB
testcase_10 AC 551 ms
106,416 KB
testcase_11 AC 570 ms
108,952 KB
testcase_12 AC 407 ms
97,456 KB
testcase_13 AC 393 ms
94,704 KB
testcase_14 AC 481 ms
100,620 KB
testcase_15 AC 566 ms
113,388 KB
testcase_16 AC 597 ms
112,768 KB
testcase_17 AC 570 ms
113,396 KB
testcase_18 AC 569 ms
113,352 KB
testcase_19 AC 608 ms
113,480 KB
testcase_20 AC 560 ms
113,152 KB
testcase_21 AC 562 ms
113,564 KB
testcase_22 AC 570 ms
113,528 KB
testcase_23 AC 330 ms
90,252 KB
testcase_24 AC 369 ms
91,892 KB
testcase_25 AC 299 ms
89,148 KB
testcase_26 AC 322 ms
90,260 KB
testcase_27 AC 317 ms
89,164 KB
testcase_28 AC 311 ms
88,936 KB
testcase_29 AC 373 ms
91,512 KB
testcase_30 AC 345 ms
90,888 KB
testcase_31 AC 325 ms
89,976 KB
testcase_32 AC 330 ms
90,028 KB
testcase_33 AC 283 ms
89,168 KB
testcase_34 AC 273 ms
89,044 KB
testcase_35 AC 285 ms
89,536 KB
testcase_36 AC 281 ms
88,980 KB
testcase_37 AC 314 ms
90,380 KB
testcase_38 AC 350 ms
93,648 KB
testcase_39 AC 423 ms
99,480 KB
testcase_40 AC 363 ms
96,400 KB
testcase_41 AC 252 ms
85,348 KB
testcase_42 AC 245 ms
85,328 KB
testcase_43 AC 244 ms
85,380 KB
testcase_44 AC 243 ms
85,400 KB
testcase_45 AC 249 ms
85,232 KB
testcase_46 AC 247 ms
85,428 KB
testcase_47 AC 246 ms
85,636 KB
testcase_48 AC 244 ms
85,128 KB
testcase_49 AC 248 ms
85,324 KB
testcase_50 AC 243 ms
85,376 KB
testcase_51 AC 245 ms
85,340 KB
testcase_52 AC 245 ms
85,428 KB
testcase_53 AC 245 ms
85,304 KB
testcase_54 AC 244 ms
85,336 KB
testcase_55 AC 246 ms
85,240 KB
testcase_56 AC 249 ms
85,352 KB
testcase_57 AC 249 ms
85,344 KB
testcase_58 AC 247 ms
85,424 KB
testcase_59 AC 250 ms
85,140 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write

class Segment_Tree:
    def __init__(self,N,f,e,lst=None,dynamic=False):
        self.f=f
        self.e=e
        self.N=N
        if dynamic:
            self.segment_tree=defaultdict(lambda:self.e)
        else:
            if lst==None:
                self.segment_tree=[self.e]*2*self.N
            else:
                assert len(lst)<=self.N
                self.segment_tree=[self.e]*self.N+[x for x in lst]+[self.e]*(N-len(lst))
                for i in range(self.N-1,0,-1):
                    self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])

    def __getitem__(self,i):
        if type(i)==int:
            if -self.N<=i<0:
                return self.segment_tree[i+self.N*2]
            elif 0<=i<self.N:
                return self.segment_tree[i+self.N]
            else:
                raise IndexError("list index out of range")
        else:
            a,b,c=i.start,i.stop,i.step
            if a==None:
                a=self.N
            else:
                a+=self.N
            if b==None:
                b=self.N*2
            else:
                b+=self.N
            return self.segment_tree[slice(a,b,c)]

    def __setitem__(self,i,x):
        if -self.N<=i<0:
            i+=self.N*2
        elif 0<=i<self.N:
            i+=self.N
        else:
            raise IndexError("list index out of range")
        self.segment_tree[i]=x
        while i>1:
            i>>= 1
            self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])

    def Build(self,lst):
        for i,x in enumerate(lst,self.N):
            self.segment_tree[i]=x
        for i in range(self.N-1,0,-1):
            self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])

    def Fold(self,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        vL=self.e
        vR=self.e
        while L<R:
            if L&1:
                vL=self.f(vL,self.segment_tree[L])
                L+=1
            if R&1:
                R-=1
                vR=self.f(self.segment_tree[R],vR)
            L>>=1
            R>>=1
        return self.f(vL,vR)

    def Fold_Index(self,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        if L==R:
            return None
        x=self.Fold(L-self.N,R-self.N)
        while L<R:
            if L&1:
                if self.segment_tree[L]==x:
                    i=L
                    break
                L+=1
            if R&1:
                R-=1
                if self.segment_tree[R]==x:
                    i=R
                    break
            L>>=1
            R>>=1
        while i<self.N:
            if self.segment_tree[i]==self.segment_tree[i<<1]:
                i<<=1
            else:
                i<<=1
                i|=1
        i-=self.N
        return i

    def Bisect_Right(self,L=None,f=None):
        if L==self.N:
            return self.N
        if L==None:
            L=0
        L+=self.N
        vl=self.e
        vr=self.e
        l,r=L,self.N*2
        while l<r:
            if l&1:
                vl=self.f(vl,self.segment_tree[l])
                l+=1
            if r&1:
                r-=1
                vr=self.f(self.segment_tree[r],vr)
            l>>=1
            r>>=1
        if f(self.f(vl,vr)):
            return self.N
        v=self.e
        while True:
            while L%2==0:
                L>>=1
            vv=self.f(v,self.segment_tree[L])
            if f(vv):
                v=vv
                L+=1
            else:
                while L<self.N:
                    L<<=1
                    vv=self.f(v,self.segment_tree[L])
                    if f(vv):
                        v=vv
                        L+=1
                return L-self.N

    def Bisect_Left(self,R=None,f=None):
        if R==0:
            return 0
        if R==None:
            R=self.N
        R+=self.N
        vl=self.e
        vr=self.e
        l,r=self.N,R
        while l<r:
            if l&1:
                vl=self.f(vl,self.segment_tree[l])
                l+=1
            if r&1:
                r-=1
                vr=self.f(self.segment_tree[r],vr)
            l>>=1
            r>>=1
        if f(self.f(vl,vr)):
            return 0
        v=self.e
        while True:
            R-=1
            while R>1 and R%2:
                R>>=1
            vv=self.f(self.segment_tree[R],v)
            if f(vv):
                v=vv
            else:
                while R<self.N:
                    R=2*R+1
                    vv=self.f(self.segment_tree[R],v)
                    if f(vv):
                        v=vv
                        R-=1
                return R+1-self.N

    def __str__(self):
        return "["+", ".join(map(str,self.segment_tree[self.N:]))+"]"

class Segment_Tree2:
    def __init__(self,N,M,f,e,lst=None,dynamic=False):
        self.N=N
        self.M=M
        self.f=f
        self.e=e
        if dynamic:
            self.segment_tree=defaultdict(lambda:defaultdict(lambda:e))
        else:
            if lst==None:
                self.segment_tree=[[self.e]*2*self.M for i in range(2*self.N)]
            else:
                assert len(lst)<=self.N
                assert all(len(lst[i])<=self.M for i in range(self.N))
                self.segment_tree=[[self.e]*2*self.M for i in range(self.N)]+[[self.e]*self.M+lst[i]+[self.e]*(self.M-len(lst[i])) for i in range(len(lst))]+[[self.e]*2*self.M for i in range(self.N-len(lst))]
                for i in range(self.N-1,0,-1):
                    for j in range(2*self.M-1,self.M-1,-1):
                        self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j])
                for i in range(2*self.N-1,-1,-1):
                    for j in range(self.M-1,0,-1):
                        self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1])

    def __getitem__(self,tpl):
        i,j=tpl
        i+=self.N
        j+=self.M
        return self.segment_tree[i][j]

    def __setitem__(self,tpl,x):
        i,j=tpl
        i+=self.N
        j+=self.M
        self.segment_tree[i][j]=x
        idxN=[i]
        idxM=[j]
        while i>1:
            i>>=1
            idxN.append(i)
        while j>1:
            j>>=1
            idxM.append(j)
        i=idxN[0]
        for j in idxM[1:]:
            self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1])
        for i in idxN[1:]:
            for j in idxM:
                self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j])

    def Build(self,lst):
        assert len(lst)<=self.N
        assert all(len(lst[i] for i in range(self.N))<=self.M)
        for i in range(len(lst)):
            for j in range(len(lst[i])):
                self.segment_tree[i+self.N][j+self.M]=lst[i][j]
        for i in range(self.N-1,0,-1):
            for j in range(2*self.M-1,self.M-1,-1):
                self.segment_tree[i][j]=self.f(self.segment_tree[i<<1][j],self.segment_tree[i<<1|1][j])
        for i in range(2*self.N-1,-1,-1):
            for j in range(self.M-1,0,-1):
                self.segment_tree[i][j]=self.f(self.segment_tree[i][j<<1],self.segment_tree[i][j<<1|1])

    def Fold(self,LN=None,RN=None,LM=None,RM=None):
        LN+=self.N
        RN+=self.N
        LM+=self.M
        RM+=self.M
        idxN=[]
        idxM=[]
        while LN<RN:
            if LN&1:
                idxN.append(LN)
                LN+=1
            if RN&1:
                RN-=1
                idxN.append(RN)
            LN>>=1
            RN>>=1
        while LM<RM:
            if LM&1:
                idxM.append(LM)
                LM+=1
            if RM&1:
                RM-=1
                idxM.append(RM)
            LM>>=1
            RM>>=1
        retu=self.e
        for i in idxN:
            for j in idxM:
                retu=self.f(retu,self.segment_tree[i][j])
        return retu

    def Fold_Index(self,LN=None,RN=None,LM=None,RM=None):
        if LN==None:
            LN=self.N
        else:
            LN+=self.N
        if RN==None:
            RN=self.N*2
        else:
            RN+=self.N
        if LM==None:
            LM=self.M
        else:
            LM+=self.M
        if RM==None:
            RM=self.M*2
        else:
            RM+=self.M
        if LN==RN and LM==RM:
            return None
        idxN=[]
        idxM=[]
        while LN<RN:
            if LN&1:
                idxN.append(LN)
                LN+=1
            if RN&1:
                RN-=1
                idxN.append(RN)
            LN>>=1
            RN>>=1
        while LM<RM:
            if LM&1:
                idxM.append(LM)
                LM+=1
            if RM&1:
                RM-=1
                idxM.append(RM)
            LM>>=1
            RM>>=1
        v=self.e
        for i in idxN:
            for j in idxM:
                v=self.f(v,self.segment_tree[i][j])
        for i in idxN:
            for j in idxM:
                if v==self.f(v,self.segment_tree[i][j]):
                    break
            else:
                continue
            break
        while i<self.N:
            if self.segment_tree[i<<1][j]==v:
                i<<=1
            else:
                i<<=1
                i|=1
        while j<self.M:
            if self.segment_tree[i][j<<1]==v:
                j<<=1
            else:
                j<<=1
                j|=1
        return i,j

    def __str__(self):
        m=max(len(str(self.segment_tree[i][j])) for i in range(self.N,self.N*2) for j in range(self.M,self.M*2))
        return "\n".join(["["+", ".join(map(lambda s:" "*(m-len(str(s)))+str(s),self.segment_tree[i][self.M:]))+"]" for i in range(self.N,self.N*2)])

class Dual_Segment_Tree:
    def __init__(self,N,f_act,e_act,operate,lst):
        self.N=N
        self.f_act=f_act
        self.e_act=e_act
        self.operate=operate
        self.lst=[None]*self.N
        for i,x in enumerate(lst):
            self.lst[i]=x
        self.segment_tree_act=[self.e_act]*(self.N+self.N)

    def __getitem__(self,i):
        if type(i) is int:
            if -self.N<=i<0:
                i+=self.N*2
            elif 0<=i<self.N:
                i+=self.N
            else:
                raise IndexError("list index out of range")
            self.Propagate_Above(i)
            return self.Operate_At(i)
        else:
            a,b,c=i.start,i.stop,i.step
            if a==None or a<-self.N:
                a=0
            elif self.N<=a:
                a=self.N
            elif a<0:
                a+=self.N
            if b==None or self.N<=b:
                b=self.N
            elif b<-self.N:
                b=0
            elif b<0:
                b+=self.N
            return self.lst[slice(a,b,c)]

    def Operate_At(self,i):
        return self.operate(self.lst[i-self.N],self.segment_tree_act[i])

    def Propagate_At(self,i):
        self.segment_tree_act[i<<1]=self.f_act(self.segment_tree_act[i<<1],self.segment_tree_act[i])
        self.segment_tree_act[i<<1|1]=self.f_act(self.segment_tree_act[i<<1|1],self.segment_tree_act[i])
        self.segment_tree_act[i]=self.e_act

    def Propagate_Above(self,i):
        H=i.bit_length()-1
        for h in range(H,0,-1):
            self.Propagate_At(i>>h)

    def Operate_Range(self,a,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        L0=L//(L&-L)
        R0=R//(R&-R)-1
        self.Propagate_Above(L0)
        self.Propagate_Above(R0)
        while L<R:
            if L&1:
                self.segment_tree_act[L]=self.f_act(self.segment_tree_act[L],a)
                L+=1
            if R&1:
                R-=1
                self.segment_tree_act[R]=self.f_act(self.segment_tree_act[R],a)
            L>>=1
            R>>=1

    def Update(self):
        for i in range(1,self.N):
            self.Propagate_At(i)
            self.segment_tree_act[i]=self.e_act

    def __str__(self):
        import copy
        segment_tree_act=copy.deepcopy(self.segment_tree_act)
        for i in range(1,self.N):
            segment_tree_act[i<<1]=self.f_act(segment_tree_act[i<<1],segment_tree_act[i])
            segment_tree_act[i<<1|1]=self.f_act(segment_tree_act[i<<1|1],segment_tree_act[i])
            segment_tree_act[i]=self.e_act
            segment_tree_act[i]=self.e_act
        return "["+", ".join(map(str,[self.operate(x,a) for x,a in zip(self.lst,segment_tree_act[self.N:])]))+"]"

class Lazy_Segment_Tree:
    def __init__(self,N,f,e,f_act,e_act,operate,lst=None):
        self.N=N
        self.f=f
        self.e=e
        self.f_act=f_act
        self.e_act=e_act
        self.operate=operate
        self.segment_tree=[self.e]*(self.N+self.N)
        self.segment_tree_act=[self.e_act]*(self.N+self.N)
        if lst!=None:
            for i,x in enumerate(lst):
                self.segment_tree[i+self.N]=x
            for i in range(self.N-1,0,-1):
                self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
            self.segment_tree_act=[self.e_act]*(self.N+self.N)

    def __getitem__(self,i):
        if type(i) is int:
            if -self.N<=i<0:
                i+=self.N*2
            elif 0<=i<self.N:
                i+=self.N
            else:
                raise IndexError("list index out of range")
            self.Propagate_Above(i)
            self.Recalculate_Above(i)
            return self.Operate_At(i)
        else:
            a,b,c=i.start,i.stop,i.step
            if a==None or a<-self.N:
                a=self.N
            elif self.N<=a:
                a=self.N*2
            elif a<0:
                a+=self.N*2
            else:
                a+=self.N
            if b==None or self.N<=b:
                b=self.N*2
            elif b<-self.N:
                b=self.N
            elif b<0:
                b+=self.N*2
            else:
                b+=self.N
            return self.segment_tree[slice(a,b,c)]

    def __setitem__(self,i,x):
        if -self.N<=i<0:
            i+=self.N*2
        elif 0<=i<self.N:
            i+=self.N
        else:
            raise IndexError("list index out of range")
        self.Propagate_Above(i)
        self.segment_tree[i]=x
        self.segment_tree_act[i]=self.e_act
        self.Recalculate_Above(i)

    def Operate_At(self,i):
        return self.operate(self.segment_tree[i],self.segment_tree_act[i])

    def Propagate_At(self,i):
        self.segment_tree[i]=self.Operate_At(i)
        self.segment_tree_act[i<<1]=self.f_act(self.segment_tree_act[i<<1],self.segment_tree_act[i])
        self.segment_tree_act[i<<1|1]=self.f_act(self.segment_tree_act[i<<1|1],self.segment_tree_act[i])
        self.segment_tree_act[i]=self.e_act

    def Propagate_Above(self,i):
        H=i.bit_length()-1
        for h in range(H,0,-1):
            self.Propagate_At(i>>h)

    def Recalculate_Above(self,i):
        while i>1:
            i>>=1
            self.segment_tree[i]=self.f(self.Operate_At(i<<1),self.Operate_At(i<<1|1))

    def Build(self,lst):
        for i,x in enumerate(lst):
            self.segment_tree[i+self.N]=x
        for i in range(self.N-1,0,-1):
            self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
        self.segment_tree_act=[self.e_act]*(self.N+self.N)

    def Fold(self,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        self.Propagate_Above(L//(L&-L))
        self.Propagate_Above(R//(R&-R)-1)
        vL=self.e
        vR=self.e
        while L<R:
            if L&1:
                vL=self.f(vL,self.Operate_At(L))
                L+=1
            if R&1:
                R-=1
                vR=self.f(self.Operate_At(R),vR)
            L>>=1
            R>>=1
        return self.f(vL,vR)

    def Fold_Index(self,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        if L==R:
            return None
        x=self.Fold(L-self.N,R-self.N)
        while L<R:
            if L&1:
                if self.segment_tree[L]==x:
                    i=L
                    break
                L+=1
            if R&1:
                R-=1
                if self.segment_tree[R]==x:
                    i=R
                    break
            L>>=1
            R>>=1
        while i<self.N:
            if self.segment_tree[i]==self.segment_tree[i<<1]:
                i<<=1
            else:
                i<<=1
                i|=1
        i-=self.N
        return i

    def Operate_Range(self,a,L=None,R=None):
        if L==None:
            L=self.N
        else:
            L+=self.N
        if R==None:
            R=self.N*2
        else:
            R+=self.N
        L0=L//(L&-L)
        R0=R//(R&-R)-1
        self.Propagate_Above(L0)
        self.Propagate_Above(R0)
        while L<R:
            if L&1:
                self.segment_tree_act[L]=self.f_act(self.segment_tree_act[L],a)
                L+=1
            if R&1:
                R-=1
                self.segment_tree_act[R]=self.f_act(self.segment_tree_act[R],a)
            L>>=1
            R>>=1
        self.Recalculate_Above(L0)
        self.Recalculate_Above(R0)

    def Update(self):
        for i in range(1,self.N):
            self.Propagate_At(i)
        for i in range(self.N,self.N*2):
            self.segment_tree[i]=self.Operate_At(i)
            self.segment_tree_act[i]=self.e_act
        for i in range(self.N-1,0,-1):
            self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])

    def Bisect_Right(self,L=None,f=None):
        if L==self.N:
            return self.N
        if L==None:
            L=0
        L+=self.N
        self.Propagate_Above(L//(L&-L))
        self.Propagate_Above(self.N//(self.N&-self.N)-1)
        l,r=L,self.N*2
        vl=self.e
        vr=self.e
        while l<r:
            if l&1:
                vl=self.f(vl,self.Operate_At(l))
                l+=1
            if r&1:
                r-=1
                vr=self.f(self.Operate_At(r),vr)
            l>>=1
            r>>=1
        if f(self.f(vl,vr)):
            return self.N
        v=self.e
        self.Propagate_Above(L)
        while True:
            while L%2==0:
                L>>=1
            vv=self.f(v,self.Operate_At(L))
            if f(vv):
                v=vv
                L+=1
            else:
                while L<self.N:
                    self.Propagate_At(L)
                    L<<=1
                    vv=self.f(v,self.Operate_At(L))
                    if f(vv):
                        v=vv
                        L+=1
                return L-self.N

    def Bisect_Left(self,R=None,f=None):
        if R==0:
            return 0
        if R==None:
            R=self.N
        R+=self.N
        self.Propagate_Above(self.N//(self.N&-self.N))
        self.Propagate_Above(R//(R&-R)-1)
        vl=self.e
        vr=self.e
        l,r=self.N,R
        while l<r:
            if l&1:
                vl=self.f(vl,self.Operate_At(l))
                l+=1
            if r&1:
                r-=1
                vr=self.f(self.Operate_At(r),vr)
            l>>=1
            r>>=1
        if f(self.f(vl,vr)):
            return 0
        v=self.e
        self.Propagate_Above(R-1)
        while True:
            R-=1
            while R>1 and R%2:
                R>>=1
            vv=self.f(self.Operate_At(R),v)
            if f(vv):
                v=vv
            else:
                while R<self.N:
                    self.Propagate_At(R)
                    R=(R<<1)|1
                    vv=self.f(self.Operate_At(R),v)
                    if f(vv):
                        v=vv
                        R-=1
                return R+1-self.N

    def __str__(self):
        import copy
        segment_tree=copy.deepcopy(self.segment_tree)
        segment_tree_act=copy.deepcopy(self.segment_tree_act)
        for i in range(1,self.N):
            segment_tree[i]=self.operate(segment_tree[i],segment_tree_act[i])
            segment_tree_act[i<<1]=self.f_act(segment_tree_act[i<<1],segment_tree_act[i])
            segment_tree_act[i<<1|1]=self.f_act(segment_tree_act[i<<1|1],segment_tree_act[i])
            segment_tree_act[i]=self.e_act
        for i in range(self.N,self.N*2):
            segment_tree[i]=self.operate(segment_tree[i],segment_tree_act[i])
            segment_tree_act[i]=self.e_act
        for i in range(self.N-1,0,-1):
            segment_tree[i]=self.f(segment_tree[i<<1],segment_tree[i<<1|1])
        return "["+", ".join(map(str,[self.operate(x,a) for x,a in zip(segment_tree[self.N:],segment_tree_act[self.N:])]))+"]"

N,M,A=map(int,readline().split())
P=[[] for r in range(N+1)]
for m in range(M):
    l,r,p=map(int,readline().split())
    l-=1
    P[r].append([l,p])
ans=0
inf=1<<60
dp=Segment_Tree(N+1,max,-inf,[-A]*(N+1))
dp[0]=0
for r in range(N+1):
    dp[r]=max(dp[r],dp.Fold(0,r)-A)
    for l,p in P[r]:
        dp[r]=max(dp[r],dp[l]+p+(-A if r<N else 0))
    ans=max(ans,dp[r])
print(ans)
0